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Finding the Third Proportional to 564,229,500 and 871,498,974

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Solution

The third proportional to 564,229,500 and 871,498,974 is: 1,346,102,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,229,500 : 871,498,974 = 871,498,974 : x
  2. Step 2: Convert to fraction form
    564,229,500/871,498,974 = 871,498,974/x
  3. Step 3: Cross multiply
    564,229,500x = 871,498,974 × 871,498,974
  4. Step 4: Simplify right side
    564,229,500x = 759,510,461,683,052,672
  5. Step 5: Solve for x
    x = 759,510,461,683,052,672/564,229,500
  6. Step 6: Final answer
    x = 1,346,102,005.80

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.