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Finding the Third Proportional to 16,278,206.50 and 25,193,831.50

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Solution

The third proportional to 16,278,206.50 and 25,193,831.50 is: 38,992,572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278,206.50 : 25,193,831.50 = 25,193,831.50 : x
  2. Step 2: Convert to fraction form
    16,278,206.50/25,193,831.50 = 25,193,831.50/x
  3. Step 3: Cross multiply
    16,278,206.50x = 25,193,831.50 × 25,193,831.50
  4. Step 4: Simplify right side
    16,278,206.50x = 634,729,145,650,392.25
  5. Step 5: Solve for x
    x = 634,729,145,650,392.25/16,278,206.50
  6. Step 6: Final answer
    x = 38,992,572.41

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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.