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Finding the Third Proportional to 31,607,991.75 and 68,959,011.75

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Solution

The third proportional to 31,607,991.75 and 68,959,011.75 is: 150,447,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,607,991.75 : 68,959,011.75 = 68,959,011.75 : x
  2. Step 2: Convert to fraction form
    31,607,991.75/68,959,011.75 = 68,959,011.75/x
  3. Step 3: Cross multiply
    31,607,991.75x = 68,959,011.75 × 68,959,011.75
  4. Step 4: Simplify right side
    31,607,991.75x = 4,755,345,301,536,638
  5. Step 5: Solve for x
    x = 4,755,345,301,536,638/31,607,991.75
  6. Step 6: Final answer
    x = 150,447,562.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.