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Finding the Third Proportional to 10,187,305 and 15,412,197

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Solution

The third proportional to 10,187,305 and 15,412,197 is: 23,316,845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187,305 : 15,412,197 = 15,412,197 : x
  2. Step 2: Convert to fraction form
    10,187,305/15,412,197 = 15,412,197/x
  3. Step 3: Cross multiply
    10,187,305x = 15,412,197 × 15,412,197
  4. Step 4: Simplify right side
    10,187,305x = 237,535,816,366,809
  5. Step 5: Solve for x
    x = 237,535,816,366,809/10,187,305
  6. Step 6: Final answer
    x = 23,316,845.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.