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Finding the Third Proportional to 425,932,114.50 and 637,195,516.31

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Solution

The third proportional to 425,932,114.50 and 637,195,516.31 is: 953,246,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,932,114.50 : 637,195,516.31 = 637,195,516.31 : x
  2. Step 2: Convert to fraction form
    425,932,114.50/637,195,516.31 = 637,195,516.31/x
  3. Step 3: Cross multiply
    425,932,114.50x = 637,195,516.31 × 637,195,516.31
  4. Step 4: Simplify right side
    425,932,114.50x = 406,018,126,008,753,472
  5. Step 5: Solve for x
    x = 406,018,126,008,753,472/425,932,114.50
  6. Step 6: Final answer
    x = 953,246,097.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.