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Finding the Third Proportional to 7,851,075 and 11,729,557

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Solution

The third proportional to 7,851,075 and 11,729,557 is: 17,524,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851,075 : 11,729,557 = 11,729,557 : x
  2. Step 2: Convert to fraction form
    7,851,075/11,729,557 = 11,729,557/x
  3. Step 3: Cross multiply
    7,851,075x = 11,729,557 × 11,729,557
  4. Step 4: Simplify right side
    7,851,075x = 137,582,507,416,249
  5. Step 5: Solve for x
    x = 137,582,507,416,249/7,851,075
  6. Step 6: Final answer
    x = 17,524,034.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.