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Finding the Third Proportional to 14,561,310 and 31,664,156

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Solution

The third proportional to 14,561,310 and 31,664,156 is: 68,854,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561,310 : 31,664,156 = 31,664,156 : x
  2. Step 2: Convert to fraction form
    14,561,310/31,664,156 = 31,664,156/x
  3. Step 3: Cross multiply
    14,561,310x = 31,664,156 × 31,664,156
  4. Step 4: Simplify right side
    14,561,310x = 1,002,618,775,192,336
  5. Step 5: Solve for x
    x = 1,002,618,775,192,336/14,561,310
  6. Step 6: Final answer
    x = 68,854,984.56

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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.