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Finding the Third Proportional to 4,142,181 and 9,037,419

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Solution

The third proportional to 4,142,181 and 9,037,419 is: 19,717,859.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142,181 : 9,037,419 = 9,037,419 : x
  2. Step 2: Convert to fraction form
    4,142,181/9,037,419 = 9,037,419/x
  3. Step 3: Cross multiply
    4,142,181x = 9,037,419 × 9,037,419
  4. Step 4: Simplify right side
    4,142,181x = 81,674,942,181,561
  5. Step 5: Solve for x
    x = 81,674,942,181,561/4,142,181
  6. Step 6: Final answer
    x = 19,717,859.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.