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Finding the Third Proportional to 6,461,553 and 14,096,634

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Solution

The third proportional to 6,461,553 and 14,096,634 is: 30,753,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,553 : 14,096,634 = 14,096,634 : x
  2. Step 2: Convert to fraction form
    6,461,553/14,096,634 = 14,096,634/x
  3. Step 3: Cross multiply
    6,461,553x = 14,096,634 × 14,096,634
  4. Step 4: Simplify right side
    6,461,553x = 198,715,090,129,956
  5. Step 5: Solve for x
    x = 198,715,090,129,956/6,461,553
  6. Step 6: Final answer
    x = 30,753,456.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.