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Finding the Third Proportional to 27,680,640.75 and 64,674,469.13

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Solution

The third proportional to 27,680,640.75 and 64,674,469.13 is: 151,108,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,680,640.75 : 64,674,469.13 = 64,674,469.13 : x
  2. Step 2: Convert to fraction form
    27,680,640.75/64,674,469.13 = 64,674,469.13/x
  3. Step 3: Cross multiply
    27,680,640.75x = 64,674,469.13 × 64,674,469.13
  4. Step 4: Simplify right side
    27,680,640.75x = 4,182,786,956,600,578.50
  5. Step 5: Solve for x
    x = 4,182,786,956,600,578.50/27,680,640.75
  6. Step 6: Final answer
    x = 151,108,747.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.