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Finding the Third Proportional to 1,624,343,471 and 2,474,586,504

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Solution

The third proportional to 1,624,343,471 and 2,474,586,504 is: 3,769,879,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624,343,471 : 2,474,586,504 = 2,474,586,504 : x
  2. Step 2: Convert to fraction form
    1,624,343,471/2,474,586,504 = 2,474,586,504/x
  3. Step 3: Cross multiply
    1,624,343,471x = 2,474,586,504 × 2,474,586,504
  4. Step 4: Simplify right side
    1,624,343,471x = 6,123,578,365,778,941,952
  5. Step 5: Solve for x
    x = 6,123,578,365,778,941,952/1,624,343,471
  6. Step 6: Final answer
    x = 3,769,879,015.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.