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Finding the Third Proportional to 32,053,454 and 75,589,205

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Solution

The third proportional to 32,053,454 and 75,589,205 is: 178,256,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053,454 : 75,589,205 = 75,589,205 : x
  2. Step 2: Convert to fraction form
    32,053,454/75,589,205 = 75,589,205/x
  3. Step 3: Cross multiply
    32,053,454x = 75,589,205 × 75,589,205
  4. Step 4: Simplify right side
    32,053,454x = 5,713,727,912,532,025
  5. Step 5: Solve for x
    x = 5,713,727,912,532,025/32,053,454
  6. Step 6: Final answer
    x = 178,256,231.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.