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Finding the Third Proportional to 47,097,777 and 63,613,269

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Solution

The third proportional to 47,097,777 and 63,613,269 is: 85,920,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,097,777 : 63,613,269 = 63,613,269 : x
  2. Step 2: Convert to fraction form
    47,097,777/63,613,269 = 63,613,269/x
  3. Step 3: Cross multiply
    47,097,777x = 63,613,269 × 63,613,269
  4. Step 4: Simplify right side
    47,097,777x = 4,046,647,992,866,361
  5. Step 5: Solve for x
    x = 4,046,647,992,866,361/47,097,777
  6. Step 6: Final answer
    x = 85,920,148.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.