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Finding the Third Proportional to 44,016,978 and 96,537,012

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Solution

The third proportional to 44,016,978 and 96,537,012 is: 211,722,728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,016,978 : 96,537,012 = 96,537,012 : x
  2. Step 2: Convert to fraction form
    44,016,978/96,537,012 = 96,537,012/x
  3. Step 3: Cross multiply
    44,016,978x = 96,537,012 × 96,537,012
  4. Step 4: Simplify right side
    44,016,978x = 9,319,394,685,888,144
  5. Step 5: Solve for x
    x = 9,319,394,685,888,144/44,016,978
  6. Step 6: Final answer
    x = 211,722,728.58

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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.