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Finding the Third Proportional to 5,075,865 and 10,570,041

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Solution

The third proportional to 5,075,865 and 10,570,041 is: 22,011,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075,865 : 10,570,041 = 10,570,041 : x
  2. Step 2: Convert to fraction form
    5,075,865/10,570,041 = 10,570,041/x
  3. Step 3: Cross multiply
    5,075,865x = 10,570,041 × 10,570,041
  4. Step 4: Simplify right side
    5,075,865x = 111,725,766,741,681
  5. Step 5: Solve for x
    x = 111,725,766,741,681/5,075,865
  6. Step 6: Final answer
    x = 22,011,177.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.