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Finding the Third Proportional to 252,178,776 and 547,401,924

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Solution

The third proportional to 252,178,776 and 547,401,924 is: 1,188,239,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,178,776 : 547,401,924 = 547,401,924 : x
  2. Step 2: Convert to fraction form
    252,178,776/547,401,924 = 547,401,924/x
  3. Step 3: Cross multiply
    252,178,776x = 547,401,924 × 547,401,924
  4. Step 4: Simplify right side
    252,178,776x = 299,648,866,398,901,760
  5. Step 5: Solve for x
    x = 299,648,866,398,901,760/252,178,776
  6. Step 6: Final answer
    x = 1,188,239,831.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.