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Finding the Third Proportional to 8,333,840.25 and 12,522,949.31

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Solution

The third proportional to 8,333,840.25 and 12,522,949.31 is: 18,817,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333,840.25 : 12,522,949.31 = 12,522,949.31 : x
  2. Step 2: Convert to fraction form
    8,333,840.25/12,522,949.31 = 12,522,949.31/x
  3. Step 3: Cross multiply
    8,333,840.25x = 12,522,949.31 × 12,522,949.31
  4. Step 4: Simplify right side
    8,333,840.25x = 156,824,259,483,444.22
  5. Step 5: Solve for x
    x = 156,824,259,483,444.22/8,333,840.25
  6. Step 6: Final answer
    x = 18,817,766.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.