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Finding the Third Proportional to 1,036,264,974 and 1,481,871,099

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Solution

The third proportional to 1,036,264,974 and 1,481,871,099 is: 2,119,093,097.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,264,974 : 1,481,871,099 = 1,481,871,099 : x
  2. Step 2: Convert to fraction form
    1,036,264,974/1,481,871,099 = 1,481,871,099/x
  3. Step 3: Cross multiply
    1,036,264,974x = 1,481,871,099 × 1,481,871,099
  4. Step 4: Simplify right side
    1,036,264,974x = 2,195,941,954,051,467,776
  5. Step 5: Solve for x
    x = 2,195,941,954,051,467,776/1,036,264,974
  6. Step 6: Final answer
    x = 2,119,093,097.95

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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.