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Finding the Third Proportional to 47,138,580 and 101,481,408

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Solution

The third proportional to 47,138,580 and 101,481,408 is: 218,472,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,138,580 : 101,481,408 = 101,481,408 : x
  2. Step 2: Convert to fraction form
    47,138,580/101,481,408 = 101,481,408/x
  3. Step 3: Cross multiply
    47,138,580x = 101,481,408 × 101,481,408
  4. Step 4: Simplify right side
    47,138,580x = 10,298,476,169,662,464
  5. Step 5: Solve for x
    x = 10,298,476,169,662,464/47,138,580
  6. Step 6: Final answer
    x = 218,472,346.21

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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.