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Finding the Third Proportional to 9,165,160.13 and 19,083,691.13

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Solution

The third proportional to 9,165,160.13 and 19,083,691.13 is: 39,736,050.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165,160.13 : 19,083,691.13 = 19,083,691.13 : x
  2. Step 2: Convert to fraction form
    9,165,160.13/19,083,691.13 = 19,083,691.13/x
  3. Step 3: Cross multiply
    9,165,160.13x = 19,083,691.13 × 19,083,691.13
  4. Step 4: Simplify right side
    9,165,160.13x = 364,187,266,954,403.75
  5. Step 5: Solve for x
    x = 364,187,266,954,403.75/9,165,160.13
  6. Step 6: Final answer
    x = 39,736,050.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.