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Finding the Third Proportional to 23,908,206,603 and 52,320,195,255

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Solution

The third proportional to 23,908,206,603 and 52,320,195,255 is: 114,496,368,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,908,206,603 : 52,320,195,255 = 52,320,195,255 : x
  2. Step 2: Convert to fraction form
    23,908,206,603/52,320,195,255 = 52,320,195,255/x
  3. Step 3: Cross multiply
    23,908,206,603x = 52,320,195,255 × 52,320,195,255
  4. Step 4: Simplify right side
    23,908,206,603x = 2,737,402,831,521,324,728,320
  5. Step 5: Solve for x
    x = 2,737,402,831,521,324,728,320/23,908,206,603
  6. Step 6: Final answer
    x = 114,496,368,421.79

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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.