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Finding the Third Proportional to 29,176,772 and 67,538,944

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Solution

The third proportional to 29,176,772 and 67,538,944 is: 156,340,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,176,772 : 67,538,944 = 67,538,944 : x
  2. Step 2: Convert to fraction form
    29,176,772/67,538,944 = 67,538,944/x
  3. Step 3: Cross multiply
    29,176,772x = 67,538,944 × 67,538,944
  4. Step 4: Simplify right side
    29,176,772x = 4,561,508,956,635,136
  5. Step 5: Solve for x
    x = 4,561,508,956,635,136/29,176,772
  6. Step 6: Final answer
    x = 156,340,425.75

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.