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Finding the Third Proportional to 5,063,870,732,009.70 and 6,832,350,495,801.30

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Solution

The third proportional to 5,063,870,732,009.70 and 6,832,350,495,801.30 is: 9,218,444,894,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063,870,732,009.70 : 6,832,350,495,801.30 = 6,832,350,495,801.30 : x
  2. Step 2: Convert to fraction form
    5,063,870,732,009.70/6,832,350,495,801.30 = 6,832,350,495,801.30/x
  3. Step 3: Cross multiply
    5,063,870,732,009.70x = 6,832,350,495,801.30 × 6,832,350,495,801.30
  4. Step 4: Simplify right side
    5,063,870,732,009.70x = 46,681,013,297,476,265,433,890,816
  5. Step 5: Solve for x
    x = 46,681,013,297,476,265,433,890,816/5,063,870,732,009.70
  6. Step 6: Final answer
    x = 9,218,444,894,810.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.