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Finding the Third Proportional to 4,991,419 and 10,739,419

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Solution

The third proportional to 4,991,419 and 10,739,419 is: 23,106,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991,419 : 10,739,419 = 10,739,419 : x
  2. Step 2: Convert to fraction form
    4,991,419/10,739,419 = 10,739,419/x
  3. Step 3: Cross multiply
    4,991,419x = 10,739,419 × 10,739,419
  4. Step 4: Simplify right side
    4,991,419x = 115,335,120,457,561
  5. Step 5: Solve for x
    x = 115,335,120,457,561/4,991,419
  6. Step 6: Final answer
    x = 23,106,679.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.