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Finding the Third Proportional to 64,646,363,120 and 151,043,073,864

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Solution

The third proportional to 64,646,363,120 and 151,043,073,864 is: 352,904,773,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,646,363,120 : 151,043,073,864 = 151,043,073,864 : x
  2. Step 2: Convert to fraction form
    64,646,363,120/151,043,073,864 = 151,043,073,864/x
  3. Step 3: Cross multiply
    64,646,363,120x = 151,043,073,864 × 151,043,073,864
  4. Step 4: Simplify right side
    64,646,363,120x = 22,814,010,162,285,759,168,512
  5. Step 5: Solve for x
    x = 22,814,010,162,285,759,168,512/64,646,363,120
  6. Step 6: Final answer
    x = 352,904,773,930.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.