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Finding the Third Proportional to 2,729,086,467 and 4,192,210,662

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Solution

The third proportional to 2,729,086,467 and 4,192,210,662 is: 6,439,748,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729,086,467 : 4,192,210,662 = 4,192,210,662 : x
  2. Step 2: Convert to fraction form
    2,729,086,467/4,192,210,662 = 4,192,210,662/x
  3. Step 3: Cross multiply
    2,729,086,467x = 4,192,210,662 × 4,192,210,662
  4. Step 4: Simplify right side
    2,729,086,467x = 17,574,630,234,586,478,592
  5. Step 5: Solve for x
    x = 17,574,630,234,586,478,592/2,729,086,467
  6. Step 6: Final answer
    x = 6,439,748,409.26

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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.