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Finding the Third Proportional to 9,850,012,859,241 and 21,182,418,783,382

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Solution

The third proportional to 9,850,012,859,241 and 21,182,418,783,382 is: 45,552,718,755,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850,012,859,241 : 21,182,418,783,382 = 21,182,418,783,382 : x
  2. Step 2: Convert to fraction form
    9,850,012,859,241/21,182,418,783,382 = 21,182,418,783,382/x
  3. Step 3: Cross multiply
    9,850,012,859,241x = 21,182,418,783,382 × 21,182,418,783,382
  4. Step 4: Simplify right side
    9,850,012,859,241x = 448,694,865,514,574,551,915,167,744
  5. Step 5: Solve for x
    x = 448,694,865,514,574,551,915,167,744/9,850,012,859,241
  6. Step 6: Final answer
    x = 45,552,718,755,450.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.