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Finding the Third Proportional to 1,036,264,961 and 1,481,871,081

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Solution

The third proportional to 1,036,264,961 and 1,481,871,081 is: 2,119,093,073.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,264,961 : 1,481,871,081 = 1,481,871,081 : x
  2. Step 2: Convert to fraction form
    1,036,264,961/1,481,871,081 = 1,481,871,081/x
  3. Step 3: Cross multiply
    1,036,264,961x = 1,481,871,081 × 1,481,871,081
  4. Step 4: Simplify right side
    1,036,264,961x = 2,195,941,900,704,108,544
  5. Step 5: Solve for x
    x = 2,195,941,900,704,108,544/1,036,264,961
  6. Step 6: Final answer
    x = 2,119,093,073.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.