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Finding the Third Proportional to 12,322,687 and 27,478,743

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Solution

The third proportional to 12,322,687 and 27,478,743 is: 61,275,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322,687 : 27,478,743 = 27,478,743 : x
  2. Step 2: Convert to fraction form
    12,322,687/27,478,743 = 27,478,743/x
  3. Step 3: Cross multiply
    12,322,687x = 27,478,743 × 27,478,743
  4. Step 4: Simplify right side
    12,322,687x = 755,081,316,860,049
  5. Step 5: Solve for x
    x = 755,081,316,860,049/12,322,687
  6. Step 6: Final answer
    x = 61,275,703.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.