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Finding the Third Proportional to 47,826,013 and 76,137,325.50

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Solution

The third proportional to 47,826,013 and 76,137,325.50 is: 121,207,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,826,013 : 76,137,325.50 = 76,137,325.50 : x
  2. Step 2: Convert to fraction form
    47,826,013/76,137,325.50 = 76,137,325.50/x
  3. Step 3: Cross multiply
    47,826,013x = 76,137,325.50 × 76,137,325.50
  4. Step 4: Simplify right side
    47,826,013x = 5,796,892,334,292,950
  5. Step 5: Solve for x
    x = 5,796,892,334,292,950/47,826,013
  6. Step 6: Final answer
    x = 121,207,936.24

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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.