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Finding the Third Proportional to 10,082,750 and 15,497,912

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Solution

The third proportional to 10,082,750 and 15,497,912 is: 23,821,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082,750 : 15,497,912 = 15,497,912 : x
  2. Step 2: Convert to fraction form
    10,082,750/15,497,912 = 15,497,912/x
  3. Step 3: Cross multiply
    10,082,750x = 15,497,912 × 15,497,912
  4. Step 4: Simplify right side
    10,082,750x = 240,185,276,359,744
  5. Step 5: Solve for x
    x = 240,185,276,359,744/10,082,750
  6. Step 6: Final answer
    x = 23,821,405.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.