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Finding the Third Proportional to 8,187,841.13 and 12,842,727.19

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Solution

The third proportional to 8,187,841.13 and 12,842,727.19 is: 20,143,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187,841.13 : 12,842,727.19 = 12,842,727.19 : x
  2. Step 2: Convert to fraction form
    8,187,841.13/12,842,727.19 = 12,842,727.19/x
  3. Step 3: Cross multiply
    8,187,841.13x = 12,842,727.19 × 12,842,727.19
  4. Step 4: Simplify right side
    8,187,841.13x = 164,935,641,612,551.66
  5. Step 5: Solve for x
    x = 164,935,641,612,551.66/8,187,841.13
  6. Step 6: Final answer
    x = 20,143,971.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.