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Finding the Third Proportional to 8,075,376 and 12,412,408

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Solution

The third proportional to 8,075,376 and 12,412,408 is: 19,078,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075,376 : 12,412,408 = 12,412,408 : x
  2. Step 2: Convert to fraction form
    8,075,376/12,412,408 = 12,412,408/x
  3. Step 3: Cross multiply
    8,075,376x = 12,412,408 × 12,412,408
  4. Step 4: Simplify right side
    8,075,376x = 154,067,872,358,464
  5. Step 5: Solve for x
    x = 154,067,872,358,464/8,075,376
  6. Step 6: Final answer
    x = 19,078,724.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.