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Finding the Third Proportional to 31,612,525,170 and 68,734,820,682

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Solution

The third proportional to 31,612,525,170 and 68,734,820,682 is: 149,449,483,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,612,525,170 : 68,734,820,682 = 68,734,820,682 : x
  2. Step 2: Convert to fraction form
    31,612,525,170/68,734,820,682 = 68,734,820,682/x
  3. Step 3: Cross multiply
    31,612,525,170x = 68,734,820,682 × 68,734,820,682
  4. Step 4: Simplify right side
    31,612,525,170x = 4,724,475,574,186,695,196,672
  5. Step 5: Solve for x
    x = 4,724,475,574,186,695,196,672/31,612,525,170
  6. Step 6: Final answer
    x = 149,449,483,987.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.