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Finding the Third Proportional to 227,423,877 and 349,350,892.50

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Solution

The third proportional to 227,423,877 and 349,350,892.50 is: 536,645,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,423,877 : 349,350,892.50 = 349,350,892.50 : x
  2. Step 2: Convert to fraction form
    227,423,877/349,350,892.50 = 349,350,892.50/x
  3. Step 3: Cross multiply
    227,423,877x = 349,350,892.50 × 349,350,892.50
  4. Step 4: Simplify right side
    227,423,877x = 122,046,046,090,546,560
  5. Step 5: Solve for x
    x = 122,046,046,090,546,560/227,423,877
  6. Step 6: Final answer
    x = 536,645,701.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.