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Finding the Third Proportional to 4,514,846 and 9,641,998

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Solution

The third proportional to 4,514,846 and 9,641,998 is: 20,591,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514,846 : 9,641,998 = 9,641,998 : x
  2. Step 2: Convert to fraction form
    4,514,846/9,641,998 = 9,641,998/x
  3. Step 3: Cross multiply
    4,514,846x = 9,641,998 × 9,641,998
  4. Step 4: Simplify right side
    4,514,846x = 92,968,125,432,004
  5. Step 5: Solve for x
    x = 92,968,125,432,004/4,514,846
  6. Step 6: Final answer
    x = 20,591,649.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.