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Finding the Third Proportional to 12,224,034 and 16,542,387

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Solution

The third proportional to 12,224,034 and 16,542,387 is: 22,386,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224,034 : 16,542,387 = 16,542,387 : x
  2. Step 2: Convert to fraction form
    12,224,034/16,542,387 = 16,542,387/x
  3. Step 3: Cross multiply
    12,224,034x = 16,542,387 × 16,542,387
  4. Step 4: Simplify right side
    12,224,034x = 273,650,567,657,769
  5. Step 5: Solve for x
    x = 273,650,567,657,769/12,224,034
  6. Step 6: Final answer
    x = 22,386,273.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.