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Finding the Third Proportional to 5,821,016.59 and 12,661,320.41

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Solution

The third proportional to 5,821,016.59 and 12,661,320.41 is: 27,539,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821,016.59 : 12,661,320.41 = 12,661,320.41 : x
  2. Step 2: Convert to fraction form
    5,821,016.59/12,661,320.41 = 12,661,320.41/x
  3. Step 3: Cross multiply
    5,821,016.59x = 12,661,320.41 × 12,661,320.41
  4. Step 4: Simplify right side
    5,821,016.59x = 160,309,034,528,632.91
  5. Step 5: Solve for x
    x = 160,309,034,528,632.91/5,821,016.59
  6. Step 6: Final answer
    x = 27,539,697.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.