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Finding the Third Proportional to 731,737,217,586 and 1,585,038,322,788

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Solution

The third proportional to 731,737,217,586 and 1,585,038,322,788 is: 3,433,399,893,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,737,217,586 : 1,585,038,322,788 = 1,585,038,322,788 : x
  2. Step 2: Convert to fraction form
    731,737,217,586/1,585,038,322,788 = 1,585,038,322,788/x
  3. Step 3: Cross multiply
    731,737,217,586x = 1,585,038,322,788 × 1,585,038,322,788
  4. Step 4: Simplify right side
    731,737,217,586x = 2,512,346,484,706,596,100,243,456
  5. Step 5: Solve for x
    x = 2,512,346,484,706,596,100,243,456/731,737,217,586
  6. Step 6: Final answer
    x = 3,433,399,893,195.02

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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.