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Finding the Third Proportional to 8,187,945,413 and 11,700,787,353

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Solution

The third proportional to 8,187,945,413 and 11,700,787,353 is: 16,720,730,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187,945,413 : 11,700,787,353 = 11,700,787,353 : x
  2. Step 2: Convert to fraction form
    8,187,945,413/11,700,787,353 = 11,700,787,353/x
  3. Step 3: Cross multiply
    8,187,945,413x = 11,700,787,353 × 11,700,787,353
  4. Step 4: Simplify right side
    8,187,945,413x = 136,908,424,680,124,743,680
  5. Step 5: Solve for x
    x = 136,908,424,680,124,743,680/8,187,945,413
  6. Step 6: Final answer
    x = 16,720,730,021.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.