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Finding the Third Proportional to 7,714,024 and 16,588,980

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Solution

The third proportional to 7,714,024 and 16,588,980 is: 35,674,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714,024 : 16,588,980 = 16,588,980 : x
  2. Step 2: Convert to fraction form
    7,714,024/16,588,980 = 16,588,980/x
  3. Step 3: Cross multiply
    7,714,024x = 16,588,980 × 16,588,980
  4. Step 4: Simplify right side
    7,714,024x = 275,194,257,440,400
  5. Step 5: Solve for x
    x = 275,194,257,440,400/7,714,024
  6. Step 6: Final answer
    x = 35,674,539.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.