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Finding the Third Proportional to 6,274,724 and 13,302,872

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Solution

The third proportional to 6,274,724 and 13,302,872 is: 28,203,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274,724 : 13,302,872 = 13,302,872 : x
  2. Step 2: Convert to fraction form
    6,274,724/13,302,872 = 13,302,872/x
  3. Step 3: Cross multiply
    6,274,724x = 13,302,872 × 13,302,872
  4. Step 4: Simplify right side
    6,274,724x = 176,966,403,448,384
  5. Step 5: Solve for x
    x = 176,966,403,448,384/6,274,724
  6. Step 6: Final answer
    x = 28,203,057.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.