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Finding the Third Proportional to 3,117,074 and 6,571,858

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Solution

The third proportional to 3,117,074 and 6,571,858 is: 13,855,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117,074 : 6,571,858 = 6,571,858 : x
  2. Step 2: Convert to fraction form
    3,117,074/6,571,858 = 6,571,858/x
  3. Step 3: Cross multiply
    3,117,074x = 6,571,858 × 6,571,858
  4. Step 4: Simplify right side
    3,117,074x = 43,189,317,572,164
  5. Step 5: Solve for x
    x = 43,189,317,572,164/3,117,074
  6. Step 6: Final answer
    x = 13,855,724.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.