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Finding the Third Proportional to 4,904,482 and 8,075,743

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Solution

The third proportional to 4,904,482 and 8,075,743 is: 13,297,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904,482 : 8,075,743 = 8,075,743 : x
  2. Step 2: Convert to fraction form
    4,904,482/8,075,743 = 8,075,743/x
  3. Step 3: Cross multiply
    4,904,482x = 8,075,743 × 8,075,743
  4. Step 4: Simplify right side
    4,904,482x = 65,217,625,002,049
  5. Step 5: Solve for x
    x = 65,217,625,002,049/4,904,482
  6. Step 6: Final answer
    x = 13,297,556.19

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.