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Finding the Third Proportional to 47,050,936 and 101,918,488

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Solution

The third proportional to 47,050,936 and 101,918,488 is: 220,768,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,050,936 : 101,918,488 = 101,918,488 : x
  2. Step 2: Convert to fraction form
    47,050,936/101,918,488 = 101,918,488/x
  3. Step 3: Cross multiply
    47,050,936x = 101,918,488 × 101,918,488
  4. Step 4: Simplify right side
    47,050,936x = 10,387,378,196,206,144
  5. Step 5: Solve for x
    x = 10,387,378,196,206,144/47,050,936
  6. Step 6: Final answer
    x = 220,768,789.73

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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.