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Finding the Third Proportional to 31,510,677 and 68,399,214

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Solution

The third proportional to 31,510,677 and 68,399,214 is: 148,471,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510,677 : 68,399,214 = 68,399,214 : x
  2. Step 2: Convert to fraction form
    31,510,677/68,399,214 = 68,399,214/x
  3. Step 3: Cross multiply
    31,510,677x = 68,399,214 × 68,399,214
  4. Step 4: Simplify right side
    31,510,677x = 4,678,452,475,817,796
  5. Step 5: Solve for x
    x = 4,678,452,475,817,796/31,510,677
  6. Step 6: Final answer
    x = 148,471,975.89

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Why These Related Problems?

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