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Finding the Third Proportional to 13,347,986,184 and 18,177,678,837

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Solution

The third proportional to 13,347,986,184 and 18,177,678,837 is: 24,754,895,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,347,986,184 : 18,177,678,837 = 18,177,678,837 : x
  2. Step 2: Convert to fraction form
    13,347,986,184/18,177,678,837 = 18,177,678,837/x
  3. Step 3: Cross multiply
    13,347,986,184x = 18,177,678,837 × 18,177,678,837
  4. Step 4: Simplify right side
    13,347,986,184x = 330,428,007,901,117,677,568
  5. Step 5: Solve for x
    x = 330,428,007,901,117,677,568/13,347,986,184
  6. Step 6: Final answer
    x = 24,754,895,858.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.