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Finding the Third Proportional to 10,082,764 and 15,497,936

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Solution

The third proportional to 10,082,764 and 15,497,936 is: 23,821,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082,764 : 15,497,936 = 15,497,936 : x
  2. Step 2: Convert to fraction form
    10,082,764/15,497,936 = 15,497,936/x
  3. Step 3: Cross multiply
    10,082,764x = 15,497,936 × 15,497,936
  4. Step 4: Simplify right side
    10,082,764x = 240,186,020,260,096
  5. Step 5: Solve for x
    x = 240,186,020,260,096/10,082,764
  6. Step 6: Final answer
    x = 23,821,446.21

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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.