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Finding the Third Proportional to 75,432,281,472 and 164,256,876,216

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Solution

The third proportional to 75,432,281,472 and 164,256,876,216 is: 357,676,061,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,432,281,472 : 164,256,876,216 = 164,256,876,216 : x
  2. Step 2: Convert to fraction form
    75,432,281,472/164,256,876,216 = 164,256,876,216/x
  3. Step 3: Cross multiply
    75,432,281,472x = 164,256,876,216 × 164,256,876,216
  4. Step 4: Simplify right side
    75,432,281,472x = 26,980,321,384,238,344,568,832
  5. Step 5: Solve for x
    x = 26,980,321,384,238,344,568,832/75,432,281,472
  6. Step 6: Final answer
    x = 357,676,061,995.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.