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Finding the Third Proportional to 4,460,796 and 9,497,016

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Solution

The third proportional to 4,460,796 and 9,497,016 is: 20,219,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460,796 : 9,497,016 = 9,497,016 : x
  2. Step 2: Convert to fraction form
    4,460,796/9,497,016 = 9,497,016/x
  3. Step 3: Cross multiply
    4,460,796x = 9,497,016 × 9,497,016
  4. Step 4: Simplify right side
    4,460,796x = 90,193,312,904,256
  5. Step 5: Solve for x
    x = 90,193,312,904,256/4,460,796
  6. Step 6: Final answer
    x = 20,219,107.29

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.