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Finding the Third Proportional to 4,978,075 and 10,857,158

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Solution

The third proportional to 4,978,075 and 10,857,158 is: 23,679,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978,075 : 10,857,158 = 10,857,158 : x
  2. Step 2: Convert to fraction form
    4,978,075/10,857,158 = 10,857,158/x
  3. Step 3: Cross multiply
    4,978,075x = 10,857,158 × 10,857,158
  4. Step 4: Simplify right side
    4,978,075x = 117,877,879,836,964
  5. Step 5: Solve for x
    x = 117,877,879,836,964/4,978,075
  6. Step 6: Final answer
    x = 23,679,410.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.