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Finding the Third Proportional to 67,057,439 and 102,510,827

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Solution

The third proportional to 67,057,439 and 102,510,827 is: 156,708,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,057,439 : 102,510,827 = 102,510,827 : x
  2. Step 2: Convert to fraction form
    67,057,439/102,510,827 = 102,510,827/x
  3. Step 3: Cross multiply
    67,057,439x = 102,510,827 × 102,510,827
  4. Step 4: Simplify right side
    67,057,439x = 10,508,469,652,223,928
  5. Step 5: Solve for x
    x = 10,508,469,652,223,928/67,057,439
  6. Step 6: Final answer
    x = 156,708,484.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.