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Finding the Third Proportional to 4,101,419 and 8,974,758

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Solution

The third proportional to 4,101,419 and 8,974,758 is: 19,638,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101,419 : 8,974,758 = 8,974,758 : x
  2. Step 2: Convert to fraction form
    4,101,419/8,974,758 = 8,974,758/x
  3. Step 3: Cross multiply
    4,101,419x = 8,974,758 × 8,974,758
  4. Step 4: Simplify right side
    4,101,419x = 80,546,281,158,564
  5. Step 5: Solve for x
    x = 80,546,281,158,564/4,101,419
  6. Step 6: Final answer
    x = 19,638,637.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.