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Finding the Third Proportional to 10,275,649 and 22,101,334.50

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Solution

The third proportional to 10,275,649 and 22,101,334.50 is: 47,536,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275,649 : 22,101,334.50 = 22,101,334.50 : x
  2. Step 2: Convert to fraction form
    10,275,649/22,101,334.50 = 22,101,334.50/x
  3. Step 3: Cross multiply
    10,275,649x = 22,101,334.50 × 22,101,334.50
  4. Step 4: Simplify right side
    10,275,649x = 488,468,986,680,890.25
  5. Step 5: Solve for x
    x = 488,468,986,680,890.25/10,275,649
  6. Step 6: Final answer
    x = 47,536,558.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.