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Finding the Third Proportional to 31,441,716 and 67,932,124

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Solution

The third proportional to 31,441,716 and 67,932,124 is: 146,772,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,441,716 : 67,932,124 = 67,932,124 : x
  2. Step 2: Convert to fraction form
    31,441,716/67,932,124 = 67,932,124/x
  3. Step 3: Cross multiply
    31,441,716x = 67,932,124 × 67,932,124
  4. Step 4: Simplify right side
    31,441,716x = 4,614,773,471,151,376
  5. Step 5: Solve for x
    x = 4,614,773,471,151,376/31,441,716
  6. Step 6: Final answer
    x = 146,772,315.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.