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Finding the Third Proportional to 27,855,145.50 and 65,541,981.75

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Solution

The third proportional to 27,855,145.50 and 65,541,981.75 is: 154,217,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,855,145.50 : 65,541,981.75 = 65,541,981.75 : x
  2. Step 2: Convert to fraction form
    27,855,145.50/65,541,981.75 = 65,541,981.75/x
  3. Step 3: Cross multiply
    27,855,145.50x = 65,541,981.75 × 65,541,981.75
  4. Step 4: Simplify right side
    27,855,145.50x = 4,295,751,371,717,333
  5. Step 5: Solve for x
    x = 4,295,751,371,717,333/27,855,145.50
  6. Step 6: Final answer
    x = 154,217,516.89

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.