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Finding the Third Proportional to 2,198,321.44 and 4,772,638.13

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Solution

The third proportional to 2,198,321.44 and 4,772,638.13 is: 10,361,576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,321.44 : 4,772,638.13 = 4,772,638.13 : x
  2. Step 2: Convert to fraction form
    2,198,321.44/4,772,638.13 = 4,772,638.13/x
  3. Step 3: Cross multiply
    2,198,321.44x = 4,772,638.13 × 4,772,638.13
  4. Step 4: Simplify right side
    2,198,321.44x = 22,778,074,672,203.52
  5. Step 5: Solve for x
    x = 22,778,074,672,203.52/2,198,321.44
  6. Step 6: Final answer
    x = 10,361,576.01

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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.