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Finding the Third Proportional to 54,303,510,354 and 116,906,287,512

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Solution

The third proportional to 54,303,510,354 and 116,906,287,512 is: 251,679,494,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,303,510,354 : 116,906,287,512 = 116,906,287,512 : x
  2. Step 2: Convert to fraction form
    54,303,510,354/116,906,287,512 = 116,906,287,512/x
  3. Step 3: Cross multiply
    54,303,510,354x = 116,906,287,512 × 116,906,287,512
  4. Step 4: Simplify right side
    54,303,510,354x = 13,667,080,059,838,407,901,184
  5. Step 5: Solve for x
    x = 13,667,080,059,838,407,901,184/54,303,510,354
  6. Step 6: Final answer
    x = 251,679,494,948.74

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Why These Related Problems?

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