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Finding the Third Proportional to 31,799,648 and 68,635,228

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Solution

The third proportional to 31,799,648 and 68,635,228 is: 148,139,832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,799,648 : 68,635,228 = 68,635,228 : x
  2. Step 2: Convert to fraction form
    31,799,648/68,635,228 = 68,635,228/x
  3. Step 3: Cross multiply
    31,799,648x = 68,635,228 × 68,635,228
  4. Step 4: Simplify right side
    31,799,648x = 4,710,794,522,611,984
  5. Step 5: Solve for x
    x = 4,710,794,522,611,984/31,799,648
  6. Step 6: Final answer
    x = 148,139,832.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.