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Finding the Third Proportional to 6,418,476 and 14,096,712

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Solution

The third proportional to 6,418,476 and 14,096,712 is: 30,960,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418,476 : 14,096,712 = 14,096,712 : x
  2. Step 2: Convert to fraction form
    6,418,476/14,096,712 = 14,096,712/x
  3. Step 3: Cross multiply
    6,418,476x = 14,096,712 × 14,096,712
  4. Step 4: Simplify right side
    6,418,476x = 198,717,289,210,944
  5. Step 5: Solve for x
    x = 198,717,289,210,944/6,418,476
  6. Step 6: Final answer
    x = 30,960,198.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.