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Finding the Third Proportional to 5,230,656 and 8,102,592

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Solution

The third proportional to 5,230,656 and 8,102,592 is: 12,551,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230,656 : 8,102,592 = 8,102,592 : x
  2. Step 2: Convert to fraction form
    5,230,656/8,102,592 = 8,102,592/x
  3. Step 3: Cross multiply
    5,230,656x = 8,102,592 × 8,102,592
  4. Step 4: Simplify right side
    5,230,656x = 65,651,997,118,464
  5. Step 5: Solve for x
    x = 65,651,997,118,464/5,230,656
  6. Step 6: Final answer
    x = 12,551,388.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.