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Finding the Third Proportional to 2,782,022.06 and 5,862,934.13

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Solution

The third proportional to 2,782,022.06 and 5,862,934.13 is: 12,355,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,022.06 : 5,862,934.13 = 5,862,934.13 : x
  2. Step 2: Convert to fraction form
    2,782,022.06/5,862,934.13 = 5,862,934.13/x
  3. Step 3: Cross multiply
    2,782,022.06x = 5,862,934.13 × 5,862,934.13
  4. Step 4: Simplify right side
    2,782,022.06x = 34,373,996,554,089.52
  5. Step 5: Solve for x
    x = 34,373,996,554,089.52/2,782,022.06
  6. Step 6: Final answer
    x = 12,355,759.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.