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Finding the Third Proportional to 5,188,443.61 and 12,011,502.02

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Solution

The third proportional to 5,188,443.61 and 12,011,502.02 is: 27,807,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188,443.61 : 12,011,502.02 = 12,011,502.02 : x
  2. Step 2: Convert to fraction form
    5,188,443.61/12,011,502.02 = 12,011,502.02/x
  3. Step 3: Cross multiply
    5,188,443.61x = 12,011,502.02 × 12,011,502.02
  4. Step 4: Simplify right side
    5,188,443.61x = 144,276,180,859,055.16
  5. Step 5: Solve for x
    x = 144,276,180,859,055.16/5,188,443.61
  6. Step 6: Final answer
    x = 27,807,217.68

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.