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Finding the Third Proportional to 533,651,443,992 and 812,981,061,387

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Solution

The third proportional to 533,651,443,992 and 812,981,061,387 is: 1,238,520,411,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,651,443,992 : 812,981,061,387 = 812,981,061,387 : x
  2. Step 2: Convert to fraction form
    533,651,443,992/812,981,061,387 = 812,981,061,387/x
  3. Step 3: Cross multiply
    533,651,443,992x = 812,981,061,387 × 812,981,061,387
  4. Step 4: Simplify right side
    533,651,443,992x = 660,938,206,173,933,011,468,288
  5. Step 5: Solve for x
    x = 660,938,206,173,933,011,468,288/533,651,443,992
  6. Step 6: Final answer
    x = 1,238,520,411,806.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.