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Finding the Third Proportional to 20,565,932 and 31,947,095.75

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Solution

The third proportional to 20,565,932 and 31,947,095.75 is: 49,626,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565,932 : 31,947,095.75 = 31,947,095.75 : x
  2. Step 2: Convert to fraction form
    20,565,932/31,947,095.75 = 31,947,095.75/x
  3. Step 3: Cross multiply
    20,565,932x = 31,947,095.75 × 31,947,095.75
  4. Step 4: Simplify right side
    20,565,932x = 1,020,616,926,859,668
  5. Step 5: Solve for x
    x = 1,020,616,926,859,668/20,565,932
  6. Step 6: Final answer
    x = 49,626,582.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.