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Finding the Third Proportional to 6,275,999 and 9,698,016

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Solution

The third proportional to 6,275,999 and 9,698,016 is: 14,985,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275,999 : 9,698,016 = 9,698,016 : x
  2. Step 2: Convert to fraction form
    6,275,999/9,698,016 = 9,698,016/x
  3. Step 3: Cross multiply
    6,275,999x = 9,698,016 × 9,698,016
  4. Step 4: Simplify right side
    6,275,999x = 94,051,514,336,256
  5. Step 5: Solve for x
    x = 94,051,514,336,256/6,275,999
  6. Step 6: Final answer
    x = 14,985,903.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.