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Finding the Third Proportional to 6,521,849 and 14,167,476

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Solution

The third proportional to 6,521,849 and 14,167,476 is: 30,776,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521,849 : 14,167,476 = 14,167,476 : x
  2. Step 2: Convert to fraction form
    6,521,849/14,167,476 = 14,167,476/x
  3. Step 3: Cross multiply
    6,521,849x = 14,167,476 × 14,167,476
  4. Step 4: Simplify right side
    6,521,849x = 200,717,376,210,576
  5. Step 5: Solve for x
    x = 200,717,376,210,576/6,521,849
  6. Step 6: Final answer
    x = 30,776,145.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.