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Finding the Third Proportional to 31,432,943.53 and 68,709,280.22

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Solution

The third proportional to 31,432,943.53 and 68,709,280.22 is: 150,191,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,432,943.53 : 68,709,280.22 = 68,709,280.22 : x
  2. Step 2: Convert to fraction form
    31,432,943.53/68,709,280.22 = 68,709,280.22/x
  3. Step 3: Cross multiply
    31,432,943.53x = 68,709,280.22 × 68,709,280.22
  4. Step 4: Simplify right side
    31,432,943.53x = 4,720,965,188,178,710
  5. Step 5: Solve for x
    x = 4,720,965,188,178,710/31,432,943.53
  6. Step 6: Final answer
    x = 150,191,635.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.