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Finding the Third Proportional to 9,947,113.50 and 14,957,580

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Solution

The third proportional to 9,947,113.50 and 14,957,580 is: 22,491,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947,113.50 : 14,957,580 = 14,957,580 : x
  2. Step 2: Convert to fraction form
    9,947,113.50/14,957,580 = 14,957,580/x
  3. Step 3: Cross multiply
    9,947,113.50x = 14,957,580 × 14,957,580
  4. Step 4: Simplify right side
    9,947,113.50x = 223,729,199,456,400
  5. Step 5: Solve for x
    x = 223,729,199,456,400/9,947,113.50
  6. Step 6: Final answer
    x = 22,491,871.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.