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Finding the Third Proportional to 32,987,664 and 68,238,144

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Solution

The third proportional to 32,987,664 and 68,238,144 is: 141,157,139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,987,664 : 68,238,144 = 68,238,144 : x
  2. Step 2: Convert to fraction form
    32,987,664/68,238,144 = 68,238,144/x
  3. Step 3: Cross multiply
    32,987,664x = 68,238,144 × 68,238,144
  4. Step 4: Simplify right side
    32,987,664x = 4,656,444,296,564,736
  5. Step 5: Solve for x
    x = 4,656,444,296,564,736/32,987,664
  6. Step 6: Final answer
    x = 141,157,139.73

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.