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Finding the Third Proportional to 3,114,308 and 6,694,208

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Solution

The third proportional to 3,114,308 and 6,694,208 is: 14,389,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114,308 : 6,694,208 = 6,694,208 : x
  2. Step 2: Convert to fraction form
    3,114,308/6,694,208 = 6,694,208/x
  3. Step 3: Cross multiply
    3,114,308x = 6,694,208 × 6,694,208
  4. Step 4: Simplify right side
    3,114,308x = 44,812,420,747,264
  5. Step 5: Solve for x
    x = 44,812,420,747,264/3,114,308
  6. Step 6: Final answer
    x = 14,389,206.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.