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Finding the Third Proportional to 263,753,427 and 387,729,237

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Solution

The third proportional to 263,753,427 and 387,729,237 is: 569,979,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,753,427 : 387,729,237 = 387,729,237 : x
  2. Step 2: Convert to fraction form
    263,753,427/387,729,237 = 387,729,237/x
  3. Step 3: Cross multiply
    263,753,427x = 387,729,237 × 387,729,237
  4. Step 4: Simplify right side
    263,753,427x = 150,333,961,224,602,176
  5. Step 5: Solve for x
    x = 150,333,961,224,602,176/263,753,427
  6. Step 6: Final answer
    x = 569,979,176.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.