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Finding the Third Proportional to 271,862,511,856 and 426,472,060,632

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Solution

The third proportional to 271,862,511,856 and 426,472,060,632 is: 669,008,820,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,862,511,856 : 426,472,060,632 = 426,472,060,632 : x
  2. Step 2: Convert to fraction form
    271,862,511,856/426,472,060,632 = 426,472,060,632/x
  3. Step 3: Cross multiply
    271,862,511,856x = 426,472,060,632 × 426,472,060,632
  4. Step 4: Simplify right side
    271,862,511,856x = 181,878,418,499,704,274,812,928
  5. Step 5: Solve for x
    x = 181,878,418,499,704,274,812,928/271,862,511,856
  6. Step 6: Final answer
    x = 669,008,820,885.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.