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Finding the Third Proportional to 2,193,387 and 5,077,314

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Solution

The third proportional to 2,193,387 and 5,077,314 is: 11,753,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193,387 : 5,077,314 = 5,077,314 : x
  2. Step 2: Convert to fraction form
    2,193,387/5,077,314 = 5,077,314/x
  3. Step 3: Cross multiply
    2,193,387x = 5,077,314 × 5,077,314
  4. Step 4: Simplify right side
    2,193,387x = 25,779,117,454,596
  5. Step 5: Solve for x
    x = 25,779,117,454,596/2,193,387
  6. Step 6: Final answer
    x = 11,753,109.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.