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Finding the Third Proportional to 120,075,510 and 283,171,415

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Solution

The third proportional to 120,075,510 and 283,171,415 is: 667,796,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,075,510 : 283,171,415 = 283,171,415 : x
  2. Step 2: Convert to fraction form
    120,075,510/283,171,415 = 283,171,415/x
  3. Step 3: Cross multiply
    120,075,510x = 283,171,415 × 283,171,415
  4. Step 4: Simplify right side
    120,075,510x = 80,186,050,273,102,224
  5. Step 5: Solve for x
    x = 80,186,050,273,102,224/120,075,510
  6. Step 6: Final answer
    x = 667,796,874.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.