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Finding the Third Proportional to 5,086,557,432 and 6,870,229,751.25

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Solution

The third proportional to 5,086,557,432 and 6,870,229,751.25 is: 9,279,371,650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086,557,432 : 6,870,229,751.25 = 6,870,229,751.25 : x
  2. Step 2: Convert to fraction form
    5,086,557,432/6,870,229,751.25 = 6,870,229,751.25/x
  3. Step 3: Cross multiply
    5,086,557,432x = 6,870,229,751.25 × 6,870,229,751.25
  4. Step 4: Simplify right side
    5,086,557,432x = 47,200,056,834,960,637,952
  5. Step 5: Solve for x
    x = 47,200,056,834,960,637,952/5,086,557,432
  6. Step 6: Final answer
    x = 9,279,371,650.86

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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.