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Finding the Third Proportional to 3,029,112 and 6,478,416

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Solution

The third proportional to 3,029,112 and 6,478,416 is: 13,855,504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,112 : 6,478,416 = 6,478,416 : x
  2. Step 2: Convert to fraction form
    3,029,112/6,478,416 = 6,478,416/x
  3. Step 3: Cross multiply
    3,029,112x = 6,478,416 × 6,478,416
  4. Step 4: Simplify right side
    3,029,112x = 41,969,873,869,056
  5. Step 5: Solve for x
    x = 41,969,873,869,056/3,029,112
  6. Step 6: Final answer
    x = 13,855,504.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.