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Finding the Third Proportional to 4,162,056 and 9,119,451

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Solution

The third proportional to 4,162,056 and 9,119,451 is: 19,981,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162,056 : 9,119,451 = 9,119,451 : x
  2. Step 2: Convert to fraction form
    4,162,056/9,119,451 = 9,119,451/x
  3. Step 3: Cross multiply
    4,162,056x = 9,119,451 × 9,119,451
  4. Step 4: Simplify right side
    4,162,056x = 83,164,386,541,401
  5. Step 5: Solve for x
    x = 83,164,386,541,401/4,162,056
  6. Step 6: Final answer
    x = 19,981,563.57

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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.