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Finding the Third Proportional to 212,715,666 and 462,701,214

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Solution

The third proportional to 212,715,666 and 462,701,214 is: 1,006,472,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,715,666 : 462,701,214 = 462,701,214 : x
  2. Step 2: Convert to fraction form
    212,715,666/462,701,214 = 462,701,214/x
  3. Step 3: Cross multiply
    212,715,666x = 462,701,214 × 462,701,214
  4. Step 4: Simplify right side
    212,715,666x = 214,092,413,437,073,792
  5. Step 5: Solve for x
    x = 214,092,413,437,073,792/212,715,666
  6. Step 6: Final answer
    x = 1,006,472,242.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.