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Finding the Third Proportional to 29,176,780 and 67,538,964

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Solution

The third proportional to 29,176,780 and 67,538,964 is: 156,340,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,176,780 : 67,538,964 = 67,538,964 : x
  2. Step 2: Convert to fraction form
    29,176,780/67,538,964 = 67,538,964/x
  3. Step 3: Cross multiply
    29,176,780x = 67,538,964 × 67,538,964
  4. Step 4: Simplify right side
    29,176,780x = 4,561,511,658,193,296
  5. Step 5: Solve for x
    x = 4,561,511,658,193,296/29,176,780
  6. Step 6: Final answer
    x = 156,340,475.48

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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.