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Finding the Third Proportional to 1,633,970,197,892 and 3,575,745,974,334

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Solution

The third proportional to 1,633,970,197,892 and 3,575,745,974,334 is: 7,825,087,195,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633,970,197,892 : 3,575,745,974,334 = 3,575,745,974,334 : x
  2. Step 2: Convert to fraction form
    1,633,970,197,892/3,575,745,974,334 = 3,575,745,974,334/x
  3. Step 3: Cross multiply
    1,633,970,197,892x = 3,575,745,974,334 × 3,575,745,974,334
  4. Step 4: Simplify right side
    1,633,970,197,892x = 12,785,959,272,965,807,833,874,432
  5. Step 5: Solve for x
    x = 12,785,959,272,965,807,833,874,432/1,633,970,197,892
  6. Step 6: Final answer
    x = 7,825,087,195,262.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.