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Finding the Third Proportional to 5,075,484,950 and 7,759,107,615

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Solution

The third proportional to 5,075,484,950 and 7,759,107,615 is: 11,861,674,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075,484,950 : 7,759,107,615 = 7,759,107,615 : x
  2. Step 2: Convert to fraction form
    5,075,484,950/7,759,107,615 = 7,759,107,615/x
  3. Step 3: Cross multiply
    5,075,484,950x = 7,759,107,615 × 7,759,107,615
  4. Step 4: Simplify right side
    5,075,484,950x = 60,203,750,981,150,990,336
  5. Step 5: Solve for x
    x = 60,203,750,981,150,990,336/5,075,484,950
  6. Step 6: Final answer
    x = 11,861,674,613.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.