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Finding the Third Proportional to 2,648,185.31 and 5,614,201.13

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Solution

The third proportional to 2,648,185.31 and 5,614,201.13 is: 11,902,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,185.31 : 5,614,201.13 = 5,614,201.13 : x
  2. Step 2: Convert to fraction form
    2,648,185.31/5,614,201.13 = 5,614,201.13/x
  3. Step 3: Cross multiply
    2,648,185.31x = 5,614,201.13 × 5,614,201.13
  4. Step 4: Simplify right side
    2,648,185.31x = 31,519,254,271,951.27
  5. Step 5: Solve for x
    x = 31,519,254,271,951.27/2,648,185.31
  6. Step 6: Final answer
    x = 11,902,208.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.