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Finding the Third Proportional to 333,503,642 and 724,418,737

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Solution

The third proportional to 333,503,642 and 724,418,737 is: 1,573,543,555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,503,642 : 724,418,737 = 724,418,737 : x
  2. Step 2: Convert to fraction form
    333,503,642/724,418,737 = 724,418,737/x
  3. Step 3: Cross multiply
    333,503,642x = 724,418,737 × 724,418,737
  4. Step 4: Simplify right side
    333,503,642x = 524,782,506,516,675,200
  5. Step 5: Solve for x
    x = 524,782,506,516,675,200/333,503,642
  6. Step 6: Final answer
    x = 1,573,543,555.24

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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.