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Finding the Third Proportional to 39,828,024 and 61,511,016

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Solution

The third proportional to 39,828,024 and 61,511,016 is: 94,998,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,828,024 : 61,511,016 = 61,511,016 : x
  2. Step 2: Convert to fraction form
    39,828,024/61,511,016 = 61,511,016/x
  3. Step 3: Cross multiply
    39,828,024x = 61,511,016 × 61,511,016
  4. Step 4: Simplify right side
    39,828,024x = 3,783,605,089,352,256
  5. Step 5: Solve for x
    x = 3,783,605,089,352,256/39,828,024
  6. Step 6: Final answer
    x = 94,998,564.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.