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Finding the Third Proportional to 32,938,568 and 72,578,320

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Solution

The third proportional to 32,938,568 and 72,578,320 is: 159,922,329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938,568 : 72,578,320 = 72,578,320 : x
  2. Step 2: Convert to fraction form
    32,938,568/72,578,320 = 72,578,320/x
  3. Step 3: Cross multiply
    32,938,568x = 72,578,320 × 72,578,320
  4. Step 4: Simplify right side
    32,938,568x = 5,267,612,534,022,400
  5. Step 5: Solve for x
    x = 5,267,612,534,022,400/32,938,568
  6. Step 6: Final answer
    x = 159,922,329.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.