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Finding the Third Proportional to 33,547,474 and 73,376,000

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Solution

The third proportional to 33,547,474 and 73,376,000 is: 160,490,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,547,474 : 73,376,000 = 73,376,000 : x
  2. Step 2: Convert to fraction form
    33,547,474/73,376,000 = 73,376,000/x
  3. Step 3: Cross multiply
    33,547,474x = 73,376,000 × 73,376,000
  4. Step 4: Simplify right side
    33,547,474x = 5,384,037,376,000,000
  5. Step 5: Solve for x
    x = 5,384,037,376,000,000/33,547,474
  6. Step 6: Final answer
    x = 160,490,097.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.