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Finding the Third Proportional to 31,965,401.25 and 46,752,356.25

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Solution

The third proportional to 31,965,401.25 and 46,752,356.25 is: 68,379,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,965,401.25 : 46,752,356.25 = 46,752,356.25 : x
  2. Step 2: Convert to fraction form
    31,965,401.25/46,752,356.25 = 46,752,356.25/x
  3. Step 3: Cross multiply
    31,965,401.25x = 46,752,356.25 × 46,752,356.25
  4. Step 4: Simplify right side
    31,965,401.25x = 2,185,782,814,926,914
  5. Step 5: Solve for x
    x = 2,185,782,814,926,914/31,965,401.25
  6. Step 6: Final answer
    x = 68,379,645.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.