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Finding the Third Proportional to 5,672,760,200 and 8,714,054,284

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Solution

The third proportional to 5,672,760,200 and 8,714,054,284 is: 13,385,854,396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672,760,200 : 8,714,054,284 = 8,714,054,284 : x
  2. Step 2: Convert to fraction form
    5,672,760,200/8,714,054,284 = 8,714,054,284/x
  3. Step 3: Cross multiply
    5,672,760,200x = 8,714,054,284 × 8,714,054,284
  4. Step 4: Simplify right side
    5,672,760,200x = 75,934,742,064,498,753,536
  5. Step 5: Solve for x
    x = 75,934,742,064,498,753,536/5,672,760,200
  6. Step 6: Final answer
    x = 13,385,854,396.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.