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Finding the Third Proportional to 2,414,451.38 and 5,116,766.63

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Solution

The third proportional to 2,414,451.38 and 5,116,766.63 is: 10,843,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,451.38 : 5,116,766.63 = 5,116,766.63 : x
  2. Step 2: Convert to fraction form
    2,414,451.38/5,116,766.63 = 5,116,766.63/x
  3. Step 3: Cross multiply
    2,414,451.38x = 5,116,766.63 × 5,116,766.63
  4. Step 4: Simplify right side
    2,414,451.38x = 26,181,300,694,713.89
  5. Step 5: Solve for x
    x = 26,181,300,694,713.89/2,414,451.38
  6. Step 6: Final answer
    x = 10,843,581.68

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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.