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Finding the Third Proportional to 8,510,294,248 and 18,623,741,384

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Solution

The third proportional to 8,510,294,248 and 18,623,741,384 is: 40,755,787,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510,294,248 : 18,623,741,384 = 18,623,741,384 : x
  2. Step 2: Convert to fraction form
    8,510,294,248/18,623,741,384 = 18,623,741,384/x
  3. Step 3: Cross multiply
    8,510,294,248x = 18,623,741,384 × 18,623,741,384
  4. Step 4: Simplify right side
    8,510,294,248x = 346,843,743,138,114,240,512
  5. Step 5: Solve for x
    x = 346,843,743,138,114,240,512/8,510,294,248
  6. Step 6: Final answer
    x = 40,755,787,406.48

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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.