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Finding the Third Proportional to 47,097,751 and 63,613,234

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Solution

The third proportional to 47,097,751 and 63,613,234 is: 85,920,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,097,751 : 63,613,234 = 63,613,234 : x
  2. Step 2: Convert to fraction form
    47,097,751/63,613,234 = 63,613,234/x
  3. Step 3: Cross multiply
    47,097,751x = 63,613,234 × 63,613,234
  4. Step 4: Simplify right side
    47,097,751x = 4,046,643,539,938,756
  5. Step 5: Solve for x
    x = 4,046,643,539,938,756/47,097,751
  6. Step 6: Final answer
    x = 85,920,101.36

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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.