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Finding the Third Proportional to 7,844,015 and 17,077,019

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Solution

The third proportional to 7,844,015 and 17,077,019 is: 37,177,973.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844,015 : 17,077,019 = 17,077,019 : x
  2. Step 2: Convert to fraction form
    7,844,015/17,077,019 = 17,077,019/x
  3. Step 3: Cross multiply
    7,844,015x = 17,077,019 × 17,077,019
  4. Step 4: Simplify right side
    7,844,015x = 291,624,577,926,361
  5. Step 5: Solve for x
    x = 291,624,577,926,361/7,844,015
  6. Step 6: Final answer
    x = 37,177,973.01

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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.