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Finding the Third Proportional to 4,567,011 and 9,822,918

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Solution

The third proportional to 4,567,011 and 9,822,918 is: 21,127,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567,011 : 9,822,918 = 9,822,918 : x
  2. Step 2: Convert to fraction form
    4,567,011/9,822,918 = 9,822,918/x
  3. Step 3: Cross multiply
    4,567,011x = 9,822,918 × 9,822,918
  4. Step 4: Simplify right side
    4,567,011x = 96,489,718,034,724
  5. Step 5: Solve for x
    x = 96,489,718,034,724/4,567,011
  6. Step 6: Final answer
    x = 21,127,542.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.