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Finding the Third Proportional to 27,440,640 and 58,661,712

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Solution

The third proportional to 27,440,640 and 58,661,712 is: 125,405,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,440,640 : 58,661,712 = 58,661,712 : x
  2. Step 2: Convert to fraction form
    27,440,640/58,661,712 = 58,661,712/x
  3. Step 3: Cross multiply
    27,440,640x = 58,661,712 × 58,661,712
  4. Step 4: Simplify right side
    27,440,640x = 3,441,196,454,770,944
  5. Step 5: Solve for x
    x = 3,441,196,454,770,944/27,440,640
  6. Step 6: Final answer
    x = 125,405,109.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.