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Finding the Third Proportional to 47,469,656 and 97,455,820

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Solution

The third proportional to 47,469,656 and 97,455,820 is: 200,078,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,469,656 : 97,455,820 = 97,455,820 : x
  2. Step 2: Convert to fraction form
    47,469,656/97,455,820 = 97,455,820/x
  3. Step 3: Cross multiply
    47,469,656x = 97,455,820 × 97,455,820
  4. Step 4: Simplify right side
    47,469,656x = 9,497,636,851,872,400
  5. Step 5: Solve for x
    x = 9,497,636,851,872,400/47,469,656
  6. Step 6: Final answer
    x = 200,078,063.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.