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Finding the Third Proportional to 337,971,536 and 724,448,536

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Solution

The third proportional to 337,971,536 and 724,448,536 is: 1,552,869,473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,971,536 : 724,448,536 = 724,448,536 : x
  2. Step 2: Convert to fraction form
    337,971,536/724,448,536 = 724,448,536/x
  3. Step 3: Cross multiply
    337,971,536x = 724,448,536 × 724,448,536
  4. Step 4: Simplify right side
    337,971,536x = 524,825,681,312,543,296
  5. Step 5: Solve for x
    x = 524,825,681,312,543,296/337,971,536
  6. Step 6: Final answer
    x = 1,552,869,473.93

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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.