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Finding the Third Proportional to 6,227,424 and 13,478,376

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Solution

The third proportional to 6,227,424 and 13,478,376 is: 29,172,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227,424 : 13,478,376 = 13,478,376 : x
  2. Step 2: Convert to fraction form
    6,227,424/13,478,376 = 13,478,376/x
  3. Step 3: Cross multiply
    6,227,424x = 13,478,376 × 13,478,376
  4. Step 4: Simplify right side
    6,227,424x = 181,666,619,597,376
  5. Step 5: Solve for x
    x = 181,666,619,597,376/6,227,424
  6. Step 6: Final answer
    x = 29,172,033.19

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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.