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Finding the Third Proportional to 22,234,704 and 48,180,787.50

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Solution

The third proportional to 22,234,704 and 48,180,787.50 is: 104,403,831.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234,704 : 48,180,787.50 = 48,180,787.50 : x
  2. Step 2: Convert to fraction form
    22,234,704/48,180,787.50 = 48,180,787.50/x
  3. Step 3: Cross multiply
    22,234,704x = 48,180,787.50 × 48,180,787.50
  4. Step 4: Simplify right side
    22,234,704x = 2,321,388,284,120,156
  5. Step 5: Solve for x
    x = 2,321,388,284,120,156/22,234,704
  6. Step 6: Final answer
    x = 104,403,831.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.