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Finding the Third Proportional to 10,508,163,315 and 22,845,381,798

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Solution

The third proportional to 10,508,163,315 and 22,845,381,798 is: 49,667,240,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508,163,315 : 22,845,381,798 = 22,845,381,798 : x
  2. Step 2: Convert to fraction form
    10,508,163,315/22,845,381,798 = 22,845,381,798/x
  3. Step 3: Cross multiply
    10,508,163,315x = 22,845,381,798 × 22,845,381,798
  4. Step 4: Simplify right side
    10,508,163,315x = 521,911,469,496,389,730,304
  5. Step 5: Solve for x
    x = 521,911,469,496,389,730,304/10,508,163,315
  6. Step 6: Final answer
    x = 49,667,240,016.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.