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Finding the Third Proportional to 731,737,217,588 and 1,585,038,322,792

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Solution

The third proportional to 731,737,217,588 and 1,585,038,322,792 is: 3,433,399,893,202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,737,217,588 : 1,585,038,322,792 = 1,585,038,322,792 : x
  2. Step 2: Convert to fraction form
    731,737,217,588/1,585,038,322,792 = 1,585,038,322,792/x
  3. Step 3: Cross multiply
    731,737,217,588x = 1,585,038,322,792 × 1,585,038,322,792
  4. Step 4: Simplify right side
    731,737,217,588x = 2,512,346,484,719,276,454,313,984
  5. Step 5: Solve for x
    x = 2,512,346,484,719,276,454,313,984/731,737,217,588
  6. Step 6: Final answer
    x = 3,433,399,893,202.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.