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Finding the Third Proportional to 33,543,068 and 71,869,832

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Solution

The third proportional to 33,543,068 and 71,869,832 is: 153,989,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,543,068 : 71,869,832 = 71,869,832 : x
  2. Step 2: Convert to fraction form
    33,543,068/71,869,832 = 71,869,832/x
  3. Step 3: Cross multiply
    33,543,068x = 71,869,832 × 71,869,832
  4. Step 4: Simplify right side
    33,543,068x = 5,165,272,751,708,224
  5. Step 5: Solve for x
    x = 5,165,272,751,708,224/33,543,068
  6. Step 6: Final answer
    x = 153,989,275.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.