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Finding the Third Proportional to 8,023,056.75 and 12,714,466.22

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Solution

The third proportional to 8,023,056.75 and 12,714,466.22 is: 20,149,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023,056.75 : 12,714,466.22 = 12,714,466.22 : x
  2. Step 2: Convert to fraction form
    8,023,056.75/12,714,466.22 = 12,714,466.22/x
  3. Step 3: Cross multiply
    8,023,056.75x = 12,714,466.22 × 12,714,466.22
  4. Step 4: Simplify right side
    8,023,056.75x = 161,657,651,227,734.94
  5. Step 5: Solve for x
    x = 161,657,651,227,734.94/8,023,056.75
  6. Step 6: Final answer
    x = 20,149,134.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.