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Finding the Third Proportional to 5,471,948 and 11,878,468

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Solution

The third proportional to 5,471,948 and 11,878,468 is: 25,785,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471,948 : 11,878,468 = 11,878,468 : x
  2. Step 2: Convert to fraction form
    5,471,948/11,878,468 = 11,878,468/x
  3. Step 3: Cross multiply
    5,471,948x = 11,878,468 × 11,878,468
  4. Step 4: Simplify right side
    5,471,948x = 141,098,002,027,024
  5. Step 5: Solve for x
    x = 141,098,002,027,024/5,471,948
  6. Step 6: Final answer
    x = 25,785,698.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.