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Finding the Third Proportional to 37,056,178 and 80,491,424

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Solution

The third proportional to 37,056,178 and 80,491,424 is: 174,839,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,056,178 : 80,491,424 = 80,491,424 : x
  2. Step 2: Convert to fraction form
    37,056,178/80,491,424 = 80,491,424/x
  3. Step 3: Cross multiply
    37,056,178x = 80,491,424 × 80,491,424
  4. Step 4: Simplify right side
    37,056,178x = 6,478,869,337,547,776
  5. Step 5: Solve for x
    x = 6,478,869,337,547,776/37,056,178
  6. Step 6: Final answer
    x = 174,839,114.21

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Why These Related Problems?

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