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Finding the Third Proportional to 31,612,525,166 and 68,734,820,674

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Solution

The third proportional to 31,612,525,166 and 68,734,820,674 is: 149,449,483,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,612,525,166 : 68,734,820,674 = 68,734,820,674 : x
  2. Step 2: Convert to fraction form
    31,612,525,166/68,734,820,674 = 68,734,820,674/x
  3. Step 3: Cross multiply
    31,612,525,166x = 68,734,820,674 × 68,734,820,674
  4. Step 4: Simplify right side
    31,612,525,166x = 4,724,475,573,086,938,202,112
  5. Step 5: Solve for x
    x = 4,724,475,573,086,938,202,112/31,612,525,166
  6. Step 6: Final answer
    x = 149,449,483,971.25

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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.