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Finding the Third Proportional to 364,061,726 and 802,330,828

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Solution

The third proportional to 364,061,726 and 802,330,828 is: 1,768,202,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,061,726 : 802,330,828 = 802,330,828 : x
  2. Step 2: Convert to fraction form
    364,061,726/802,330,828 = 802,330,828/x
  3. Step 3: Cross multiply
    364,061,726x = 802,330,828 × 802,330,828
  4. Step 4: Simplify right side
    364,061,726x = 643,734,757,559,165,568
  5. Step 5: Solve for x
    x = 643,734,757,559,165,568/364,061,726
  6. Step 6: Final answer
    x = 1,768,202,234.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.