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Finding the Third Proportional to 33,547,716 and 73,376,496

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Solution

The third proportional to 33,547,716 and 73,376,496 is: 160,491,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,547,716 : 73,376,496 = 73,376,496 : x
  2. Step 2: Convert to fraction form
    33,547,716/73,376,496 = 73,376,496/x
  3. Step 3: Cross multiply
    33,547,716x = 73,376,496 × 73,376,496
  4. Step 4: Simplify right side
    33,547,716x = 5,384,110,165,238,016
  5. Step 5: Solve for x
    x = 5,384,110,165,238,016/33,547,716
  6. Step 6: Final answer
    x = 160,491,109.60

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Why These Related Problems?

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