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Finding the Third Proportional to 16,798,646,758 and 35,993,391,080

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Solution

The third proportional to 16,798,646,758 and 35,993,391,080 is: 77,120,747,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,798,646,758 : 35,993,391,080 = 35,993,391,080 : x
  2. Step 2: Convert to fraction form
    16,798,646,758/35,993,391,080 = 35,993,391,080/x
  3. Step 3: Cross multiply
    16,798,646,758x = 35,993,391,080 × 35,993,391,080
  4. Step 4: Simplify right side
    16,798,646,758x = 1,295,524,201,437,823,500,288
  5. Step 5: Solve for x
    x = 1,295,524,201,437,823,500,288/16,798,646,758
  6. Step 6: Final answer
    x = 77,120,747,885.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.