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Finding the Third Proportional to 383,714,512 and 843,939,008

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Solution

The third proportional to 383,714,512 and 843,939,008 is: 1,856,153,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,714,512 : 843,939,008 = 843,939,008 : x
  2. Step 2: Convert to fraction form
    383,714,512/843,939,008 = 843,939,008/x
  3. Step 3: Cross multiply
    383,714,512x = 843,939,008 × 843,939,008
  4. Step 4: Simplify right side
    383,714,512x = 712,233,049,224,024,064
  5. Step 5: Solve for x
    x = 712,233,049,224,024,064/383,714,512
  6. Step 6: Final answer
    x = 1,856,153,538.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.