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Finding the Third Proportional to 5,179,539 and 8,125,162.50

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Solution

The third proportional to 5,179,539 and 8,125,162.50 is: 12,745,973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179,539 : 8,125,162.50 = 8,125,162.50 : x
  2. Step 2: Convert to fraction form
    5,179,539/8,125,162.50 = 8,125,162.50/x
  3. Step 3: Cross multiply
    5,179,539x = 8,125,162.50 × 8,125,162.50
  4. Step 4: Simplify right side
    5,179,539x = 66,018,265,651,406.25
  5. Step 5: Solve for x
    x = 66,018,265,651,406.25/5,179,539
  6. Step 6: Final answer
    x = 12,745,973.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.