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Finding the Third Proportional to 5,617,284.19 and 12,102,313.78

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Solution

The third proportional to 5,617,284.19 and 12,102,313.78 is: 26,074,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617,284.19 : 12,102,313.78 = 12,102,313.78 : x
  2. Step 2: Convert to fraction form
    5,617,284.19/12,102,313.78 = 12,102,313.78/x
  3. Step 3: Cross multiply
    5,617,284.19x = 12,102,313.78 × 12,102,313.78
  4. Step 4: Simplify right side
    5,617,284.19x = 146,465,998,859,833.69
  5. Step 5: Solve for x
    x = 146,465,998,859,833.69/5,617,284.19
  6. Step 6: Final answer
    x = 26,074,165.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.