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Finding the Third Proportional to 3,161,724 and 6,937,968

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Solution

The third proportional to 3,161,724 and 6,937,968 is: 15,224,415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161,724 : 6,937,968 = 6,937,968 : x
  2. Step 2: Convert to fraction form
    3,161,724/6,937,968 = 6,937,968/x
  3. Step 3: Cross multiply
    3,161,724x = 6,937,968 × 6,937,968
  4. Step 4: Simplify right side
    3,161,724x = 48,135,399,969,024
  5. Step 5: Solve for x
    x = 48,135,399,969,024/3,161,724
  6. Step 6: Final answer
    x = 15,224,415.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.