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Finding the Third Proportional to 31,880,439 and 66,029,337

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Solution

The third proportional to 31,880,439 and 66,029,337 is: 136,757,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,880,439 : 66,029,337 = 66,029,337 : x
  2. Step 2: Convert to fraction form
    31,880,439/66,029,337 = 66,029,337/x
  3. Step 3: Cross multiply
    31,880,439x = 66,029,337 × 66,029,337
  4. Step 4: Simplify right side
    31,880,439x = 4,359,873,344,659,569
  5. Step 5: Solve for x
    x = 4,359,873,344,659,569/31,880,439
  6. Step 6: Final answer
    x = 136,757,004.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.