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Finding the Third Proportional to 335,546,078 and 717,726,284

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Solution

The third proportional to 335,546,078 and 717,726,284 is: 1,535,202,025.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,546,078 : 717,726,284 = 717,726,284 : x
  2. Step 2: Convert to fraction form
    335,546,078/717,726,284 = 717,726,284/x
  3. Step 3: Cross multiply
    335,546,078x = 717,726,284 × 717,726,284
  4. Step 4: Simplify right side
    335,546,078x = 515,131,018,744,448,640
  5. Step 5: Solve for x
    x = 515,131,018,744,448,640/335,546,078
  6. Step 6: Final answer
    x = 1,535,202,025.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.