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Finding the Third Proportional to 4,210,092 and 8,860,296

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Solution

The third proportional to 4,210,092 and 8,860,296 is: 18,646,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210,092 : 8,860,296 = 8,860,296 : x
  2. Step 2: Convert to fraction form
    4,210,092/8,860,296 = 8,860,296/x
  3. Step 3: Cross multiply
    4,210,092x = 8,860,296 × 8,860,296
  4. Step 4: Simplify right side
    4,210,092x = 78,504,845,207,616
  5. Step 5: Solve for x
    x = 78,504,845,207,616/4,210,092
  6. Step 6: Final answer
    x = 18,646,824.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.