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Finding the Third Proportional to 462,663,396 and 616,815,702

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Solution

The third proportional to 462,663,396 and 616,815,702 is: 822,329,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,663,396 : 616,815,702 = 616,815,702 : x
  2. Step 2: Convert to fraction form
    462,663,396/616,815,702 = 616,815,702/x
  3. Step 3: Cross multiply
    462,663,396x = 616,815,702 × 616,815,702
  4. Step 4: Simplify right side
    462,663,396x = 380,461,610,233,752,832
  5. Step 5: Solve for x
    x = 380,461,610,233,752,832/462,663,396
  6. Step 6: Final answer
    x = 822,329,178.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.