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Finding the Third Proportional to 2,648,188.69 and 5,614,216.31

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Solution

The third proportional to 2,648,188.69 and 5,614,216.31 is: 11,902,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,188.69 : 5,614,216.31 = 5,614,216.31 : x
  2. Step 2: Convert to fraction form
    2,648,188.69/5,614,216.31 = 5,614,216.31/x
  3. Step 3: Cross multiply
    2,648,188.69x = 5,614,216.31 × 5,614,216.31
  4. Step 4: Simplify right side
    2,648,188.69x = 31,519,424,803,541.10
  5. Step 5: Solve for x
    x = 31,519,424,803,541.10/2,648,188.69
  6. Step 6: Final answer
    x = 11,902,257.93

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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.