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Finding the Third Proportional to 9,427,500 and 14,415,120

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Solution

The third proportional to 9,427,500 and 14,415,120 is: 22,041,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427,500 : 14,415,120 = 14,415,120 : x
  2. Step 2: Convert to fraction form
    9,427,500/14,415,120 = 14,415,120/x
  3. Step 3: Cross multiply
    9,427,500x = 14,415,120 × 14,415,120
  4. Step 4: Simplify right side
    9,427,500x = 207,795,684,614,400
  5. Step 5: Solve for x
    x = 207,795,684,614,400/9,427,500
  6. Step 6: Final answer
    x = 22,041,440.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.