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Finding the Third Proportional to 31,835,620 and 68,213,720

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Solution

The third proportional to 31,835,620 and 68,213,720 is: 146,160,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,835,620 : 68,213,720 = 68,213,720 : x
  2. Step 2: Convert to fraction form
    31,835,620/68,213,720 = 68,213,720/x
  3. Step 3: Cross multiply
    31,835,620x = 68,213,720 × 68,213,720
  4. Step 4: Simplify right side
    31,835,620x = 4,653,111,596,238,400
  5. Step 5: Solve for x
    x = 4,653,111,596,238,400/31,835,620
  6. Step 6: Final answer
    x = 146,160,545.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.