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Finding the Third Proportional to 6,381,464 and 13,659,952

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Solution

The third proportional to 6,381,464 and 13,659,952 is: 29,240,044.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381,464 : 13,659,952 = 13,659,952 : x
  2. Step 2: Convert to fraction form
    6,381,464/13,659,952 = 13,659,952/x
  3. Step 3: Cross multiply
    6,381,464x = 13,659,952 × 13,659,952
  4. Step 4: Simplify right side
    6,381,464x = 186,594,288,642,304
  5. Step 5: Solve for x
    x = 186,594,288,642,304/6,381,464
  6. Step 6: Final answer
    x = 29,240,044.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.