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Finding the Third Proportional to 31,612,525,161 and 68,734,820,664

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Solution

The third proportional to 31,612,525,161 and 68,734,820,664 is: 149,449,483,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,612,525,161 : 68,734,820,664 = 68,734,820,664 : x
  2. Step 2: Convert to fraction form
    31,612,525,161/68,734,820,664 = 68,734,820,664/x
  3. Step 3: Cross multiply
    31,612,525,161x = 68,734,820,664 × 68,734,820,664
  4. Step 4: Simplify right side
    31,612,525,161x = 4,724,475,571,712,241,434,624
  5. Step 5: Solve for x
    x = 4,724,475,571,712,241,434,624/31,612,525,161
  6. Step 6: Final answer
    x = 149,449,483,951.41

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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.