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Finding the Third Proportional to 10,082,761 and 15,497,929

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Solution

The third proportional to 10,082,761 and 15,497,929 is: 23,821,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082,761 : 15,497,929 = 15,497,929 : x
  2. Step 2: Convert to fraction form
    10,082,761/15,497,929 = 15,497,929/x
  3. Step 3: Cross multiply
    10,082,761x = 15,497,929 × 15,497,929
  4. Step 4: Simplify right side
    10,082,761x = 240,185,803,289,041
  5. Step 5: Solve for x
    x = 240,185,803,289,041/10,082,761
  6. Step 6: Final answer
    x = 23,821,431.78

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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.