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Finding the Third Proportional to 8,561,427 and 12,534,987

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Solution

The third proportional to 8,561,427 and 12,534,987 is: 18,352,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561,427 : 12,534,987 = 12,534,987 : x
  2. Step 2: Convert to fraction form
    8,561,427/12,534,987 = 12,534,987/x
  3. Step 3: Cross multiply
    8,561,427x = 12,534,987 × 12,534,987
  4. Step 4: Simplify right side
    8,561,427x = 157,125,899,090,169
  5. Step 5: Solve for x
    x = 157,125,899,090,169/8,561,427
  6. Step 6: Final answer
    x = 18,352,769.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.