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Finding the Third Proportional to 3,296,963 and 7,029,409

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Solution

The third proportional to 3,296,963 and 7,029,409 is: 14,987,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296,963 : 7,029,409 = 7,029,409 : x
  2. Step 2: Convert to fraction form
    3,296,963/7,029,409 = 7,029,409/x
  3. Step 3: Cross multiply
    3,296,963x = 7,029,409 × 7,029,409
  4. Step 4: Simplify right side
    3,296,963x = 49,412,590,889,281
  5. Step 5: Solve for x
    x = 49,412,590,889,281/3,296,963
  6. Step 6: Final answer
    x = 14,987,305.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.