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Finding the Third Proportional to 4,099,671 and 8,971,623

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Solution

The third proportional to 4,099,671 and 8,971,623 is: 19,633,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099,671 : 8,971,623 = 8,971,623 : x
  2. Step 2: Convert to fraction form
    4,099,671/8,971,623 = 8,971,623/x
  3. Step 3: Cross multiply
    4,099,671x = 8,971,623 × 8,971,623
  4. Step 4: Simplify right side
    4,099,671x = 80,490,019,254,129
  5. Step 5: Solve for x
    x = 80,490,019,254,129/4,099,671
  6. Step 6: Final answer
    x = 19,633,287.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.