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Finding the Third Proportional to 3,700,519,155 and 8,079,150,096

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Solution

The third proportional to 3,700,519,155 and 8,079,150,096 is: 17,638,786,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700,519,155 : 8,079,150,096 = 8,079,150,096 : x
  2. Step 2: Convert to fraction form
    3,700,519,155/8,079,150,096 = 8,079,150,096/x
  3. Step 3: Cross multiply
    3,700,519,155x = 8,079,150,096 × 8,079,150,096
  4. Step 4: Simplify right side
    3,700,519,155x = 65,272,666,273,696,808,960
  5. Step 5: Solve for x
    x = 65,272,666,273,696,808,960/3,700,519,155
  6. Step 6: Final answer
    x = 17,638,786,218.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.