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Finding the Third Proportional to 5,892,295.50 and 12,714,142.50

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Solution

The third proportional to 5,892,295.50 and 12,714,142.50 is: 27,434,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892,295.50 : 12,714,142.50 = 12,714,142.50 : x
  2. Step 2: Convert to fraction form
    5,892,295.50/12,714,142.50 = 12,714,142.50/x
  3. Step 3: Cross multiply
    5,892,295.50x = 12,714,142.50 × 12,714,142.50
  4. Step 4: Simplify right side
    5,892,295.50x = 161,649,419,510,306.25
  5. Step 5: Solve for x
    x = 161,649,419,510,306.25/5,892,295.50
  6. Step 6: Final answer
    x = 27,434,031.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.