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Finding the Third Proportional to 47,114,560 and 101,793,856

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Solution

The third proportional to 47,114,560 and 101,793,856 is: 219,931,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,114,560 : 101,793,856 = 101,793,856 : x
  2. Step 2: Convert to fraction form
    47,114,560/101,793,856 = 101,793,856/x
  3. Step 3: Cross multiply
    47,114,560x = 101,793,856 × 101,793,856
  4. Step 4: Simplify right side
    47,114,560x = 10,361,989,119,348,736
  5. Step 5: Solve for x
    x = 10,361,989,119,348,736/47,114,560
  6. Step 6: Final answer
    x = 219,931,781.58

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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.