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Finding the Third Proportional to 2,648,117.81 and 5,614,020.56

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Solution

The third proportional to 2,648,117.81 and 5,614,020.56 is: 11,901,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,117.81 : 5,614,020.56 = 5,614,020.56 : x
  2. Step 2: Convert to fraction form
    2,648,117.81/5,614,020.56 = 5,614,020.56/x
  3. Step 3: Cross multiply
    2,648,117.81x = 5,614,020.56 × 5,614,020.56
  4. Step 4: Simplify right side
    2,648,117.81x = 31,517,226,876,172.82
  5. Step 5: Solve for x
    x = 31,517,226,876,172.82/2,648,117.81
  6. Step 6: Final answer
    x = 11,901,746.49

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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.