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Finding the Third Proportional to 222,751,640 and 478,407,416

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Solution

The third proportional to 222,751,640 and 478,407,416 is: 1,027,483,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,751,640 : 478,407,416 = 478,407,416 : x
  2. Step 2: Convert to fraction form
    222,751,640/478,407,416 = 478,407,416/x
  3. Step 3: Cross multiply
    222,751,640x = 478,407,416 × 478,407,416
  4. Step 4: Simplify right side
    222,751,640x = 228,873,655,683,797,056
  5. Step 5: Solve for x
    x = 228,873,655,683,797,056/222,751,640
  6. Step 6: Final answer
    x = 1,027,483,594.21

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