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Finding the Third Proportional to 47,826,014 and 76,137,327

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Solution

The third proportional to 47,826,014 and 76,137,327 is: 121,207,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,826,014 : 76,137,327 = 76,137,327 : x
  2. Step 2: Convert to fraction form
    47,826,014/76,137,327 = 76,137,327/x
  3. Step 3: Cross multiply
    47,826,014x = 76,137,327 × 76,137,327
  4. Step 4: Simplify right side
    47,826,014x = 5,796,892,562,704,929
  5. Step 5: Solve for x
    x = 5,796,892,562,704,929/47,826,014
  6. Step 6: Final answer
    x = 121,207,938.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.