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Finding the Third Proportional to 14,676,828 and 31,129,504

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Solution

The third proportional to 14,676,828 and 31,129,504 is: 66,025,575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676,828 : 31,129,504 = 31,129,504 : x
  2. Step 2: Convert to fraction form
    14,676,828/31,129,504 = 31,129,504/x
  3. Step 3: Cross multiply
    14,676,828x = 31,129,504 × 31,129,504
  4. Step 4: Simplify right side
    14,676,828x = 969,046,019,286,016
  5. Step 5: Solve for x
    x = 969,046,019,286,016/14,676,828
  6. Step 6: Final answer
    x = 66,025,575.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.