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Finding the Third Proportional to 6,082,974 and 9,415,638

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Solution

The third proportional to 6,082,974 and 9,415,638 is: 14,574,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082,974 : 9,415,638 = 9,415,638 : x
  2. Step 2: Convert to fraction form
    6,082,974/9,415,638 = 9,415,638/x
  3. Step 3: Cross multiply
    6,082,974x = 9,415,638 × 9,415,638
  4. Step 4: Simplify right side
    6,082,974x = 88,654,238,947,044
  5. Step 5: Solve for x
    x = 88,654,238,947,044/6,082,974
  6. Step 6: Final answer
    x = 14,574,160.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.