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Finding the Third Proportional to 12,561,464 and 27,209,686

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Solution

The third proportional to 12,561,464 and 27,209,686 is: 58,939,548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561,464 : 27,209,686 = 27,209,686 : x
  2. Step 2: Convert to fraction form
    12,561,464/27,209,686 = 27,209,686/x
  3. Step 3: Cross multiply
    12,561,464x = 27,209,686 × 27,209,686
  4. Step 4: Simplify right side
    12,561,464x = 740,367,012,218,596
  5. Step 5: Solve for x
    x = 740,367,012,218,596/12,561,464
  6. Step 6: Final answer
    x = 58,939,548.15

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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.