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Finding the Third Proportional to 32,179,857,988 and 69,277,800,008

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Solution

The third proportional to 32,179,857,988 and 69,277,800,008 is: 149,143,404,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,179,857,988 : 69,277,800,008 = 69,277,800,008 : x
  2. Step 2: Convert to fraction form
    32,179,857,988/69,277,800,008 = 69,277,800,008/x
  3. Step 3: Cross multiply
    32,179,857,988x = 69,277,800,008 × 69,277,800,008
  4. Step 4: Simplify right side
    32,179,857,988x = 4,799,413,573,948,444,508,160
  5. Step 5: Solve for x
    x = 4,799,413,573,948,444,508,160/32,179,857,988
  6. Step 6: Final answer
    x = 149,143,404,415.84

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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.