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Finding the Third Proportional to 69,371,819,315 and 110,384,201,918

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Solution

The third proportional to 69,371,819,315 and 110,384,201,918 is: 175,642,965,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,371,819,315 : 110,384,201,918 = 110,384,201,918 : x
  2. Step 2: Convert to fraction form
    69,371,819,315/110,384,201,918 = 110,384,201,918/x
  3. Step 3: Cross multiply
    69,371,819,315x = 110,384,201,918 × 110,384,201,918
  4. Step 4: Simplify right side
    69,371,819,315x = 12,184,672,033,073,795,170,304
  5. Step 5: Solve for x
    x = 12,184,672,033,073,795,170,304/69,371,819,315
  6. Step 6: Final answer
    x = 175,642,965,016.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.