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Finding the Third Proportional to 5,776,575.75 and 8,075,598.75

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Solution

The third proportional to 5,776,575.75 and 8,075,598.75 is: 11,289,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776,575.75 : 8,075,598.75 = 8,075,598.75 : x
  2. Step 2: Convert to fraction form
    5,776,575.75/8,075,598.75 = 8,075,598.75/x
  3. Step 3: Cross multiply
    5,776,575.75x = 8,075,598.75 × 8,075,598.75
  4. Step 4: Simplify right side
    5,776,575.75x = 65,215,295,171,001.56
  5. Step 5: Solve for x
    x = 65,215,295,171,001.56/5,776,575.75
  6. Step 6: Final answer
    x = 11,289,611.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.