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Finding the Third Proportional to 4,099,761 and 8,971,803

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Solution

The third proportional to 4,099,761 and 8,971,803 is: 19,633,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099,761 : 8,971,803 = 8,971,803 : x
  2. Step 2: Convert to fraction form
    4,099,761/8,971,803 = 8,971,803/x
  3. Step 3: Cross multiply
    4,099,761x = 8,971,803 × 8,971,803
  4. Step 4: Simplify right side
    4,099,761x = 80,493,249,070,809
  5. Step 5: Solve for x
    x = 80,493,249,070,809/4,099,761
  6. Step 6: Final answer
    x = 19,633,644.27

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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.