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Finding the Third Proportional to 8,187,945,457 and 11,700,787,423

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Solution

The third proportional to 8,187,945,457 and 11,700,787,423 is: 16,720,730,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187,945,457 : 11,700,787,423 = 11,700,787,423 : x
  2. Step 2: Convert to fraction form
    8,187,945,457/11,700,787,423 = 11,700,787,423/x
  3. Step 3: Cross multiply
    8,187,945,457x = 11,700,787,423 × 11,700,787,423
  4. Step 4: Simplify right side
    8,187,945,457x = 136,908,426,318,234,976,256
  5. Step 5: Solve for x
    x = 136,908,426,318,234,976,256/8,187,945,457
  6. Step 6: Final answer
    x = 16,720,730,131.54

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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.