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Finding the Third Proportional to 34,759,586 and 51,075,249

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Solution

The third proportional to 34,759,586 and 51,075,249 is: 75,049,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,759,586 : 51,075,249 = 51,075,249 : x
  2. Step 2: Convert to fraction form
    34,759,586/51,075,249 = 51,075,249/x
  3. Step 3: Cross multiply
    34,759,586x = 51,075,249 × 51,075,249
  4. Step 4: Simplify right side
    34,759,586x = 2,608,681,060,412,001
  5. Step 5: Solve for x
    x = 2,608,681,060,412,001/34,759,586
  6. Step 6: Final answer
    x = 75,049,255.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.