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Finding the Third Proportional to 31,513,434 and 68,548,314

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Solution

The third proportional to 31,513,434 and 68,548,314 is: 149,106,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,513,434 : 68,548,314 = 68,548,314 : x
  2. Step 2: Convert to fraction form
    31,513,434/68,548,314 = 68,548,314/x
  3. Step 3: Cross multiply
    31,513,434x = 68,548,314 × 68,548,314
  4. Step 4: Simplify right side
    31,513,434x = 4,698,871,352,242,596
  5. Step 5: Solve for x
    x = 4,698,871,352,242,596/31,513,434
  6. Step 6: Final answer
    x = 149,106,928.56

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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.