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Finding the Third Proportional to 49,565,344 and 105,038,016

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Solution

The third proportional to 49,565,344 and 105,038,016 is: 222,594,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,565,344 : 105,038,016 = 105,038,016 : x
  2. Step 2: Convert to fraction form
    49,565,344/105,038,016 = 105,038,016/x
  3. Step 3: Cross multiply
    49,565,344x = 105,038,016 × 105,038,016
  4. Step 4: Simplify right side
    49,565,344x = 11,032,984,805,216,256
  5. Step 5: Solve for x
    x = 11,032,984,805,216,256/49,565,344
  6. Step 6: Final answer
    x = 222,594,738.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.