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Finding the Third Proportional to 33,381,689 and 71,172,643

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Solution

The third proportional to 33,381,689 and 71,172,643 is: 151,746,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,381,689 : 71,172,643 = 71,172,643 : x
  2. Step 2: Convert to fraction form
    33,381,689/71,172,643 = 71,172,643/x
  3. Step 3: Cross multiply
    33,381,689x = 71,172,643 × 71,172,643
  4. Step 4: Simplify right side
    33,381,689x = 5,065,545,111,605,449
  5. Step 5: Solve for x
    x = 5,065,545,111,605,449/33,381,689
  6. Step 6: Final answer
    x = 151,746,219.66

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.