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Finding the Third Proportional to 9,000,517.50 and 14,297,944.50

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Solution

The third proportional to 9,000,517.50 and 14,297,944.50 is: 22,713,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000,517.50 : 14,297,944.50 = 14,297,944.50 : x
  2. Step 2: Convert to fraction form
    9,000,517.50/14,297,944.50 = 14,297,944.50/x
  3. Step 3: Cross multiply
    9,000,517.50x = 14,297,944.50 × 14,297,944.50
  4. Step 4: Simplify right side
    9,000,517.50x = 204,431,216,925,080.25
  5. Step 5: Solve for x
    x = 204,431,216,925,080.25/9,000,517.50
  6. Step 6: Final answer
    x = 22,713,273.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.