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Finding the Third Proportional to 7,862,672.25 and 16,818,324.75

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Solution

The third proportional to 7,862,672.25 and 16,818,324.75 is: 35,974,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862,672.25 : 16,818,324.75 = 16,818,324.75 : x
  2. Step 2: Convert to fraction form
    7,862,672.25/16,818,324.75 = 16,818,324.75/x
  3. Step 3: Cross multiply
    7,862,672.25x = 16,818,324.75 × 16,818,324.75
  4. Step 4: Simplify right side
    7,862,672.25x = 282,856,047,396,462.56
  5. Step 5: Solve for x
    x = 282,856,047,396,462.56/7,862,672.25
  6. Step 6: Final answer
    x = 35,974,543.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.