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Finding the Third Proportional to 13,015,071,082 and 18,328,088,075

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Solution

The third proportional to 13,015,071,082 and 18,328,088,075 is: 25,809,986,773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015,071,082 : 18,328,088,075 = 18,328,088,075 : x
  2. Step 2: Convert to fraction form
    13,015,071,082/18,328,088,075 = 18,328,088,075/x
  3. Step 3: Cross multiply
    13,015,071,082x = 18,328,088,075 × 18,328,088,075
  4. Step 4: Simplify right side
    13,015,071,082x = 335,918,812,484,957,175,808
  5. Step 5: Solve for x
    x = 335,918,812,484,957,175,808/13,015,071,082
  6. Step 6: Final answer
    x = 25,809,986,773.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.