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Finding the Third Proportional to 765,388,342,888 and 1,639,948,881,010

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Solution

The third proportional to 765,388,342,888 and 1,639,948,881,010 is: 3,513,814,075,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,388,342,888 : 1,639,948,881,010 = 1,639,948,881,010 : x
  2. Step 2: Convert to fraction form
    765,388,342,888/1,639,948,881,010 = 1,639,948,881,010/x
  3. Step 3: Cross multiply
    765,388,342,888x = 1,639,948,881,010 × 1,639,948,881,010
  4. Step 4: Simplify right side
    765,388,342,888x = 2,689,432,332,325,951,094,390,784
  5. Step 5: Solve for x
    x = 2,689,432,332,325,951,094,390,784/765,388,342,888
  6. Step 6: Final answer
    x = 3,513,814,075,320.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.