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Finding the Third Proportional to 36,495,488.25 and 51,023,145.38

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Solution

The third proportional to 36,495,488.25 and 51,023,145.38 is: 71,333,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,495,488.25 : 51,023,145.38 = 51,023,145.38 : x
  2. Step 2: Convert to fraction form
    36,495,488.25/51,023,145.38 = 51,023,145.38/x
  3. Step 3: Cross multiply
    36,495,488.25x = 51,023,145.38 × 51,023,145.38
  4. Step 4: Simplify right side
    36,495,488.25x = 2,603,361,363,958,384
  5. Step 5: Solve for x
    x = 2,603,361,363,958,384/36,495,488.25
  6. Step 6: Final answer
    x = 71,333,786.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.