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Finding the Third Proportional to 871,043,903 and 1,331,561,470

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Solution

The third proportional to 871,043,903 and 1,331,561,470 is: 2,035,552,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,043,903 : 1,331,561,470 = 1,331,561,470 : x
  2. Step 2: Convert to fraction form
    871,043,903/1,331,561,470 = 1,331,561,470/x
  3. Step 3: Cross multiply
    871,043,903x = 1,331,561,470 × 1,331,561,470
  4. Step 4: Simplify right side
    871,043,903x = 1,773,055,948,388,560,896
  5. Step 5: Solve for x
    x = 1,773,055,948,388,560,896/871,043,903
  6. Step 6: Final answer
    x = 2,035,552,906.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.