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Finding the Third Proportional to 33,577,184 and 72,291,496

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Solution

The third proportional to 33,577,184 and 72,291,496 is: 155,643,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,577,184 : 72,291,496 = 72,291,496 : x
  2. Step 2: Convert to fraction form
    33,577,184/72,291,496 = 72,291,496/x
  3. Step 3: Cross multiply
    33,577,184x = 72,291,496 × 72,291,496
  4. Step 4: Simplify right side
    33,577,184x = 5,226,060,393,918,016
  5. Step 5: Solve for x
    x = 5,226,060,393,918,016/33,577,184
  6. Step 6: Final answer
    x = 155,643,200.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.