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Finding the Third Proportional to 30,599,216 and 66,581,872

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Solution

The third proportional to 30,599,216 and 66,581,872 is: 144,877,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,599,216 : 66,581,872 = 66,581,872 : x
  2. Step 2: Convert to fraction form
    30,599,216/66,581,872 = 66,581,872/x
  3. Step 3: Cross multiply
    30,599,216x = 66,581,872 × 66,581,872
  4. Step 4: Simplify right side
    30,599,216x = 4,433,145,679,024,384
  5. Step 5: Solve for x
    x = 4,433,145,679,024,384/30,599,216
  6. Step 6: Final answer
    x = 144,877,753.70

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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.