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Finding the Third Proportional to 841,206,024.56 and 1,840,722,421.92

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Solution

The third proportional to 841,206,024.56 and 1,840,722,421.92 is: 4,027,858,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,206,024.56 : 1,840,722,421.92 = 1,840,722,421.92 : x
  2. Step 2: Convert to fraction form
    841,206,024.56/1,840,722,421.92 = 1,840,722,421.92/x
  3. Step 3: Cross multiply
    841,206,024.56x = 1,840,722,421.92 × 1,840,722,421.92
  4. Step 4: Simplify right side
    841,206,024.56x = 3,388,259,034,566,025,216
  5. Step 5: Solve for x
    x = 3,388,259,034,566,025,216/841,206,024.56
  6. Step 6: Final answer
    x = 4,027,858,735.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.