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Finding the Third Proportional to 31,225,986.38 and 67,664,659.13

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Solution

The third proportional to 31,225,986.38 and 67,664,659.13 is: 146,624,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,225,986.38 : 67,664,659.13 = 67,664,659.13 : x
  2. Step 2: Convert to fraction form
    31,225,986.38/67,664,659.13 = 67,664,659.13/x
  3. Step 3: Cross multiply
    31,225,986.38x = 67,664,659.13 × 67,664,659.13
  4. Step 4: Simplify right side
    31,225,986.38x = 4,578,506,094,502,446
  5. Step 5: Solve for x
    x = 4,578,506,094,502,446/31,225,986.38
  6. Step 6: Final answer
    x = 146,624,866.85

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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.