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Finding the Third Proportional to 22,319,833.50 and 31,591,255.50

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Solution

The third proportional to 22,319,833.50 and 31,591,255.50 is: 44,713,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,319,833.50 : 31,591,255.50 = 31,591,255.50 : x
  2. Step 2: Convert to fraction form
    22,319,833.50/31,591,255.50 = 31,591,255.50/x
  3. Step 3: Cross multiply
    22,319,833.50x = 31,591,255.50 × 31,591,255.50
  4. Step 4: Simplify right side
    22,319,833.50x = 998,007,424,066,280.25
  5. Step 5: Solve for x
    x = 998,007,424,066,280.25/22,319,833.50
  6. Step 6: Final answer
    x = 44,713,927.82

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.