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Finding the Third Proportional to 1,565,479,203.75 and 3,355,052,027.91

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Solution

The third proportional to 1,565,479,203.75 and 3,355,052,027.91 is: 7,190,369,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,479,203.75 : 3,355,052,027.91 = 3,355,052,027.91 : x
  2. Step 2: Convert to fraction form
    1,565,479,203.75/3,355,052,027.91 = 3,355,052,027.91/x
  3. Step 3: Cross multiply
    1,565,479,203.75x = 3,355,052,027.91 × 3,355,052,027.91
  4. Step 4: Simplify right side
    1,565,479,203.75x = 11,256,374,109,957,505,024
  5. Step 5: Solve for x
    x = 11,256,374,109,957,505,024/1,565,479,203.75
  6. Step 6: Final answer
    x = 7,190,369,621.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.