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Finding the Third Proportional to 27,854,548 and 61,089,943

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Solution

The third proportional to 27,854,548 and 61,089,943 is: 133,981,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854,548 : 61,089,943 = 61,089,943 : x
  2. Step 2: Convert to fraction form
    27,854,548/61,089,943 = 61,089,943/x
  3. Step 3: Cross multiply
    27,854,548x = 61,089,943 × 61,089,943
  4. Step 4: Simplify right side
    27,854,548x = 3,731,981,135,743,249
  5. Step 5: Solve for x
    x = 3,731,981,135,743,249/27,854,548
  6. Step 6: Final answer
    x = 133,981,033.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.