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Finding the Third Proportional to 30,375,536 and 66,520,864

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Solution

The third proportional to 30,375,536 and 66,520,864 is: 145,677,276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,375,536 : 66,520,864 = 66,520,864 : x
  2. Step 2: Convert to fraction form
    30,375,536/66,520,864 = 66,520,864/x
  3. Step 3: Cross multiply
    30,375,536x = 66,520,864 × 66,520,864
  4. Step 4: Simplify right side
    30,375,536x = 4,425,025,347,306,496
  5. Step 5: Solve for x
    x = 4,425,025,347,306,496/30,375,536
  6. Step 6: Final answer
    x = 145,677,276.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.