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Finding the Third Proportional to 2,200,535.44 and 4,767,347.81

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Solution

The third proportional to 2,200,535.44 and 4,767,347.81 is: 10,328,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200,535.44 : 4,767,347.81 = 4,767,347.81 : x
  2. Step 2: Convert to fraction form
    2,200,535.44/4,767,347.81 = 4,767,347.81/x
  3. Step 3: Cross multiply
    2,200,535.44x = 4,767,347.81 × 4,767,347.81
  4. Step 4: Simplify right side
    2,200,535.44x = 22,727,605,165,348.54
  5. Step 5: Solve for x
    x = 22,727,605,165,348.54/2,200,535.44
  6. Step 6: Final answer
    x = 10,328,215.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.