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Finding the Third Proportional to 2,579,231,192 and 5,625,376,312

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Solution

The third proportional to 2,579,231,192 and 5,625,376,312 is: 12,269,105,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579,231,192 : 5,625,376,312 = 5,625,376,312 : x
  2. Step 2: Convert to fraction form
    2,579,231,192/5,625,376,312 = 5,625,376,312/x
  3. Step 3: Cross multiply
    2,579,231,192x = 5,625,376,312 × 5,625,376,312
  4. Step 4: Simplify right side
    2,579,231,192x = 31,644,858,651,610,722,304
  5. Step 5: Solve for x
    x = 31,644,858,651,610,722,304/2,579,231,192
  6. Step 6: Final answer
    x = 12,269,105,130.93

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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.