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Finding the Third Proportional to 47,050,926 and 101,918,460

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Solution

The third proportional to 47,050,926 and 101,918,460 is: 220,768,715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,050,926 : 101,918,460 = 101,918,460 : x
  2. Step 2: Convert to fraction form
    47,050,926/101,918,460 = 101,918,460/x
  3. Step 3: Cross multiply
    47,050,926x = 101,918,460 × 101,918,460
  4. Step 4: Simplify right side
    47,050,926x = 10,387,372,488,771,600
  5. Step 5: Solve for x
    x = 10,387,372,488,771,600/47,050,926
  6. Step 6: Final answer
    x = 220,768,715.34

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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.