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Finding the Third Proportional to 17,346,221,007 and 23,404,125,039

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Solution

The third proportional to 17,346,221,007 and 23,404,125,039 is: 31,577,659,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,346,221,007 : 23,404,125,039 = 23,404,125,039 : x
  2. Step 2: Convert to fraction form
    17,346,221,007/23,404,125,039 = 23,404,125,039/x
  3. Step 3: Cross multiply
    17,346,221,007x = 23,404,125,039 × 23,404,125,039
  4. Step 4: Simplify right side
    17,346,221,007x = 547,753,068,841,146,777,600
  5. Step 5: Solve for x
    x = 547,753,068,841,146,777,600/17,346,221,007
  6. Step 6: Final answer
    x = 31,577,659,976.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.