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Finding the Third Proportional to 9,850,012,859,232 and 21,182,418,783,364

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Solution

The third proportional to 9,850,012,859,232 and 21,182,418,783,364 is: 45,552,718,755,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850,012,859,232 : 21,182,418,783,364 = 21,182,418,783,364 : x
  2. Step 2: Convert to fraction form
    9,850,012,859,232/21,182,418,783,364 = 21,182,418,783,364/x
  3. Step 3: Cross multiply
    9,850,012,859,232x = 21,182,418,783,364 × 21,182,418,783,364
  4. Step 4: Simplify right side
    9,850,012,859,232x = 448,694,865,513,811,971,881,828,352
  5. Step 5: Solve for x
    x = 448,694,865,513,811,971,881,828,352/9,850,012,859,232
  6. Step 6: Final answer
    x = 45,552,718,755,414.55

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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.