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Finding the Third Proportional to 34,491,864 and 75,107,352

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Solution

The third proportional to 34,491,864 and 75,107,352 is: 163,549,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,491,864 : 75,107,352 = 75,107,352 : x
  2. Step 2: Convert to fraction form
    34,491,864/75,107,352 = 75,107,352/x
  3. Step 3: Cross multiply
    34,491,864x = 75,107,352 × 75,107,352
  4. Step 4: Simplify right side
    34,491,864x = 5,641,114,324,451,904
  5. Step 5: Solve for x
    x = 5,641,114,324,451,904/34,491,864
  6. Step 6: Final answer
    x = 163,549,129.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.