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Finding the Third Proportional to 532,940,446.69 and 1,188,420,925.78

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Solution

The third proportional to 532,940,446.69 and 1,188,420,925.78 is: 2,650,097,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,940,446.69 : 1,188,420,925.78 = 1,188,420,925.78 : x
  2. Step 2: Convert to fraction form
    532,940,446.69/1,188,420,925.78 = 1,188,420,925.78/x
  3. Step 3: Cross multiply
    532,940,446.69x = 1,188,420,925.78 × 1,188,420,925.78
  4. Step 4: Simplify right side
    532,940,446.69x = 1,412,344,296,834,644,224
  5. Step 5: Solve for x
    x = 1,412,344,296,834,644,224/532,940,446.69
  6. Step 6: Final answer
    x = 2,650,097,784.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.