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Finding the Third Proportional to 34,740,494 and 74,251,742

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Solution

The third proportional to 34,740,494 and 74,251,742 is: 158,700,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,740,494 : 74,251,742 = 74,251,742 : x
  2. Step 2: Convert to fraction form
    34,740,494/74,251,742 = 74,251,742/x
  3. Step 3: Cross multiply
    34,740,494x = 74,251,742 × 74,251,742
  4. Step 4: Simplify right side
    34,740,494x = 5,513,321,190,034,564
  5. Step 5: Solve for x
    x = 5,513,321,190,034,564/34,740,494
  6. Step 6: Final answer
    x = 158,700,137.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.