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Finding the Third Proportional to 345,167,211 and 741,562,698

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Solution

The third proportional to 345,167,211 and 741,562,698 is: 1,593,185,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,167,211 : 741,562,698 = 741,562,698 : x
  2. Step 2: Convert to fraction form
    345,167,211/741,562,698 = 741,562,698/x
  3. Step 3: Cross multiply
    345,167,211x = 741,562,698 × 741,562,698
  4. Step 4: Simplify right side
    345,167,211x = 549,915,235,065,039,232
  5. Step 5: Solve for x
    x = 549,915,235,065,039,232/345,167,211
  6. Step 6: Final answer
    x = 1,593,185,034.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.