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Finding the Third Proportional to 335,546,073 and 717,726,276

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Solution

The third proportional to 335,546,073 and 717,726,276 is: 1,535,202,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,546,073 : 717,726,276 = 717,726,276 : x
  2. Step 2: Convert to fraction form
    335,546,073/717,726,276 = 717,726,276/x
  3. Step 3: Cross multiply
    335,546,073x = 717,726,276 × 717,726,276
  4. Step 4: Simplify right side
    335,546,073x = 515,131,007,260,828,160
  5. Step 5: Solve for x
    x = 515,131,007,260,828,160/335,546,073
  6. Step 6: Final answer
    x = 1,535,202,014.60

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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.