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Finding the Third Proportional to 33,045,106 and 71,580,068

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Solution

The third proportional to 33,045,106 and 71,580,068 is: 155,051,889.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,045,106 : 71,580,068 = 71,580,068 : x
  2. Step 2: Convert to fraction form
    33,045,106/71,580,068 = 71,580,068/x
  3. Step 3: Cross multiply
    33,045,106x = 71,580,068 × 71,580,068
  4. Step 4: Simplify right side
    33,045,106x = 5,123,706,134,884,624
  5. Step 5: Solve for x
    x = 5,123,706,134,884,624/33,045,106
  6. Step 6: Final answer
    x = 155,051,889.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.