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Finding the Third Proportional to 254,490,214,099 and 553,661,313,749

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Solution

The third proportional to 254,490,214,099 and 553,661,313,749 is: 1,204,529,028,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,490,214,099 : 553,661,313,749 = 553,661,313,749 : x
  2. Step 2: Convert to fraction form
    254,490,214,099/553,661,313,749 = 553,661,313,749/x
  3. Step 3: Cross multiply
    254,490,214,099x = 553,661,313,749 × 553,661,313,749
  4. Step 4: Simplify right side
    254,490,214,099x = 306,540,850,342,268,606,873,600
  5. Step 5: Solve for x
    x = 306,540,850,342,268,606,873,600/254,490,214,099
  6. Step 6: Final answer
    x = 1,204,529,028,464.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.