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Finding the Third Proportional to 32,456,467 and 68,534,608

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Solution

The third proportional to 32,456,467 and 68,534,608 is: 144,716,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,456,467 : 68,534,608 = 68,534,608 : x
  2. Step 2: Convert to fraction form
    32,456,467/68,534,608 = 68,534,608/x
  3. Step 3: Cross multiply
    32,456,467x = 68,534,608 × 68,534,608
  4. Step 4: Simplify right side
    32,456,467x = 4,696,992,493,713,664
  5. Step 5: Solve for x
    x = 4,696,992,493,713,664/32,456,467
  6. Step 6: Final answer
    x = 144,716,690.63

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.