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Finding the Third Proportional to 2,934,069.75 and 6,356,502

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Solution

The third proportional to 2,934,069.75 and 6,356,502 is: 13,771,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934,069.75 : 6,356,502 = 6,356,502 : x
  2. Step 2: Convert to fraction form
    2,934,069.75/6,356,502 = 6,356,502/x
  3. Step 3: Cross multiply
    2,934,069.75x = 6,356,502 × 6,356,502
  4. Step 4: Simplify right side
    2,934,069.75x = 40,405,117,676,004
  5. Step 5: Solve for x
    x = 40,405,117,676,004/2,934,069.75
  6. Step 6: Final answer
    x = 13,771,014.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.