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Finding the Third Proportional to 4,201,363.69 and 9,216,291.38

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Solution

The third proportional to 4,201,363.69 and 9,216,291.38 is: 20,217,251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201,363.69 : 9,216,291.38 = 9,216,291.38 : x
  2. Step 2: Convert to fraction form
    4,201,363.69/9,216,291.38 = 9,216,291.38/x
  3. Step 3: Cross multiply
    4,201,363.69x = 9,216,291.38 × 9,216,291.38
  4. Step 4: Simplify right side
    4,201,363.69x = 84,940,026,708,899.39
  5. Step 5: Solve for x
    x = 84,940,026,708,899.39/4,201,363.69
  6. Step 6: Final answer
    x = 20,217,251.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.