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Finding the Third Proportional to 13,940,872 and 30,197,776

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Solution

The third proportional to 13,940,872 and 30,197,776 is: 65,412,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940,872 : 30,197,776 = 30,197,776 : x
  2. Step 2: Convert to fraction form
    13,940,872/30,197,776 = 30,197,776/x
  3. Step 3: Cross multiply
    13,940,872x = 30,197,776 × 30,197,776
  4. Step 4: Simplify right side
    13,940,872x = 911,905,675,346,176
  5. Step 5: Solve for x
    x = 911,905,675,346,176/13,940,872
  6. Step 6: Final answer
    x = 65,412,384.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.