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Finding the Third Proportional to 47,826,015 and 76,137,329

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Solution

The third proportional to 47,826,015 and 76,137,329 is: 121,207,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,826,015 : 76,137,329 = 76,137,329 : x
  2. Step 2: Convert to fraction form
    47,826,015/76,137,329 = 76,137,329/x
  3. Step 3: Cross multiply
    47,826,015x = 76,137,329 × 76,137,329
  4. Step 4: Simplify right side
    47,826,015x = 5,796,892,867,254,241
  5. Step 5: Solve for x
    x = 5,796,892,867,254,241/47,826,015
  6. Step 6: Final answer
    x = 121,207,942.31

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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.