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Finding the Third Proportional to 5,411,462 and 11,270,712

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Solution

The third proportional to 5,411,462 and 11,270,712 is: 23,474,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411,462 : 11,270,712 = 11,270,712 : x
  2. Step 2: Convert to fraction form
    5,411,462/11,270,712 = 11,270,712/x
  3. Step 3: Cross multiply
    5,411,462x = 11,270,712 × 11,270,712
  4. Step 4: Simplify right side
    5,411,462x = 127,028,948,986,944
  5. Step 5: Solve for x
    x = 127,028,948,986,944/5,411,462
  6. Step 6: Final answer
    x = 23,474,053.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.