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Finding the Third Proportional to 2,660,572.83 and 5,836,184.16

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Solution

The third proportional to 2,660,572.83 and 5,836,184.16 is: 12,802,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660,572.83 : 5,836,184.16 = 5,836,184.16 : x
  2. Step 2: Convert to fraction form
    2,660,572.83/5,836,184.16 = 5,836,184.16/x
  3. Step 3: Cross multiply
    2,660,572.83x = 5,836,184.16 × 5,836,184.16
  4. Step 4: Simplify right side
    2,660,572.83x = 34,061,045,505,663.52
  5. Step 5: Solve for x
    x = 34,061,045,505,663.52/2,660,572.83
  6. Step 6: Final answer
    x = 12,802,147.40

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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.