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Finding the Third Proportional to 8,187,945,423 and 11,700,787,368

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Solution

The third proportional to 8,187,945,423 and 11,700,787,368 is: 16,720,730,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187,945,423 : 11,700,787,368 = 11,700,787,368 : x
  2. Step 2: Convert to fraction form
    8,187,945,423/11,700,787,368 = 11,700,787,368/x
  3. Step 3: Cross multiply
    8,187,945,423x = 11,700,787,368 × 11,700,787,368
  4. Step 4: Simplify right side
    8,187,945,423x = 136,908,425,031,148,371,968
  5. Step 5: Solve for x
    x = 136,908,425,031,148,371,968/8,187,945,423
  6. Step 6: Final answer
    x = 16,720,730,043.78

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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.