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Finding the Third Proportional to 34,296,741,432 and 74,292,539,904

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Solution

The third proportional to 34,296,741,432 and 74,292,539,904 is: 160,930,200,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,296,741,432 : 74,292,539,904 = 74,292,539,904 : x
  2. Step 2: Convert to fraction form
    34,296,741,432/74,292,539,904 = 74,292,539,904/x
  3. Step 3: Cross multiply
    34,296,741,432x = 74,292,539,904 × 74,292,539,904
  4. Step 4: Simplify right side
    34,296,741,432x = 5,519,381,485,387,432,067,072
  5. Step 5: Solve for x
    x = 5,519,381,485,387,432,067,072/34,296,741,432
  6. Step 6: Final answer
    x = 160,930,200,798.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.