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Finding the Third Proportional to 47,114,562 and 101,793,860

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Solution

The third proportional to 47,114,562 and 101,793,860 is: 219,931,789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,114,562 : 101,793,860 = 101,793,860 : x
  2. Step 2: Convert to fraction form
    47,114,562/101,793,860 = 101,793,860/x
  3. Step 3: Cross multiply
    47,114,562x = 101,793,860 × 101,793,860
  4. Step 4: Simplify right side
    47,114,562x = 10,361,989,933,699,600
  5. Step 5: Solve for x
    x = 10,361,989,933,699,600/47,114,562
  6. Step 6: Final answer
    x = 219,931,789.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.