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Finding the Third Proportional to 3,002,944 and 6,478,278

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Solution

The third proportional to 3,002,944 and 6,478,278 is: 13,975,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002,944 : 6,478,278 = 6,478,278 : x
  2. Step 2: Convert to fraction form
    3,002,944/6,478,278 = 6,478,278/x
  3. Step 3: Cross multiply
    3,002,944x = 6,478,278 × 6,478,278
  4. Step 4: Simplify right side
    3,002,944x = 41,968,085,845,284
  5. Step 5: Solve for x
    x = 41,968,085,845,284/3,002,944
  6. Step 6: Final answer
    x = 13,975,647.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.