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Finding the Third Proportional to 4,452,982.13 and 9,725,815.50

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Solution

The third proportional to 4,452,982.13 and 9,725,815.50 is: 21,242,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452,982.13 : 9,725,815.50 = 9,725,815.50 : x
  2. Step 2: Convert to fraction form
    4,452,982.13/9,725,815.50 = 9,725,815.50/x
  3. Step 3: Cross multiply
    4,452,982.13x = 9,725,815.50 × 9,725,815.50
  4. Step 4: Simplify right side
    4,452,982.13x = 94,591,487,140,040.25
  5. Step 5: Solve for x
    x = 94,591,487,140,040.25/4,452,982.13
  6. Step 6: Final answer
    x = 21,242,278.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.