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Finding the Third Proportional to 30,417,612 and 67,635,966

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Solution

The third proportional to 30,417,612 and 67,635,966 is: 150,393,919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,417,612 : 67,635,966 = 67,635,966 : x
  2. Step 2: Convert to fraction form
    30,417,612/67,635,966 = 67,635,966/x
  3. Step 3: Cross multiply
    30,417,612x = 67,635,966 × 67,635,966
  4. Step 4: Simplify right side
    30,417,612x = 4,574,623,896,753,156
  5. Step 5: Solve for x
    x = 4,574,623,896,753,156/30,417,612
  6. Step 6: Final answer
    x = 150,393,919.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.