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Finding the Third Proportional to 31,563,138 and 67,920,180

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Solution

The third proportional to 31,563,138 and 67,920,180 is: 146,156,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,563,138 : 67,920,180 = 67,920,180 : x
  2. Step 2: Convert to fraction form
    31,563,138/67,920,180 = 67,920,180/x
  3. Step 3: Cross multiply
    31,563,138x = 67,920,180 × 67,920,180
  4. Step 4: Simplify right side
    31,563,138x = 4,613,150,851,232,400
  5. Step 5: Solve for x
    x = 4,613,150,851,232,400/31,563,138
  6. Step 6: Final answer
    x = 146,156,280.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.