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Finding the Third Proportional to 2,648,215.69 and 5,614,263.56

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Solution

The third proportional to 2,648,215.69 and 5,614,263.56 is: 11,902,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,215.69 : 5,614,263.56 = 5,614,263.56 : x
  2. Step 2: Convert to fraction form
    2,648,215.69/5,614,263.56 = 5,614,263.56/x
  3. Step 3: Cross multiply
    2,648,215.69x = 5,614,263.56 × 5,614,263.56
  4. Step 4: Simplify right side
    2,648,215.69x = 31,519,955,349,215.19
  5. Step 5: Solve for x
    x = 31,519,955,349,215.19/2,648,215.69
  6. Step 6: Final answer
    x = 11,902,336.92

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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.