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Finding the Third Proportional to 9,693,146 and 15,206,943

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Solution

The third proportional to 9,693,146 and 15,206,943 is: 23,857,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693,146 : 15,206,943 = 15,206,943 : x
  2. Step 2: Convert to fraction form
    9,693,146/15,206,943 = 15,206,943/x
  3. Step 3: Cross multiply
    9,693,146x = 15,206,943 × 15,206,943
  4. Step 4: Simplify right side
    9,693,146x = 231,251,115,405,249
  5. Step 5: Solve for x
    x = 231,251,115,405,249/9,693,146
  6. Step 6: Final answer
    x = 23,857,178.61

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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.