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Finding the Third Proportional to 3,002,943 and 6,478,277

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Solution

The third proportional to 3,002,943 and 6,478,277 is: 13,975,647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002,943 : 6,478,277 = 6,478,277 : x
  2. Step 2: Convert to fraction form
    3,002,943/6,478,277 = 6,478,277/x
  3. Step 3: Cross multiply
    3,002,943x = 6,478,277 × 6,478,277
  4. Step 4: Simplify right side
    3,002,943x = 41,968,072,888,729
  5. Step 5: Solve for x
    x = 41,968,072,888,729/3,002,943
  6. Step 6: Final answer
    x = 13,975,647.52

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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.