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Finding the Third Proportional to 12,774,672 and 27,221,670

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Solution

The third proportional to 12,774,672 and 27,221,670 is: 58,006,915.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774,672 : 27,221,670 = 27,221,670 : x
  2. Step 2: Convert to fraction form
    12,774,672/27,221,670 = 27,221,670/x
  3. Step 3: Cross multiply
    12,774,672x = 27,221,670 × 27,221,670
  4. Step 4: Simplify right side
    12,774,672x = 741,019,317,588,900
  5. Step 5: Solve for x
    x = 741,019,317,588,900/12,774,672
  6. Step 6: Final answer
    x = 58,006,915.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.