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Finding the Third Proportional to 631,943,966 and 838,522,209

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Solution

The third proportional to 631,943,966 and 838,522,209 is: 1,112,629,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,943,966 : 838,522,209 = 838,522,209 : x
  2. Step 2: Convert to fraction form
    631,943,966/838,522,209 = 838,522,209/x
  3. Step 3: Cross multiply
    631,943,966x = 838,522,209 × 838,522,209
  4. Step 4: Simplify right side
    631,943,966x = 703,119,494,986,239,744
  5. Step 5: Solve for x
    x = 703,119,494,986,239,744/631,943,966
  6. Step 6: Final answer
    x = 1,112,629,493.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.