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Finding the Third Proportional to 42,955,277,256 and 87,135,370,992

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Solution

The third proportional to 42,955,277,256 and 87,135,370,992 is: 176,755,299,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,955,277,256 : 87,135,370,992 = 87,135,370,992 : x
  2. Step 2: Convert to fraction form
    42,955,277,256/87,135,370,992 = 87,135,370,992/x
  3. Step 3: Cross multiply
    42,955,277,256x = 87,135,370,992 × 87,135,370,992
  4. Step 4: Simplify right side
    42,955,277,256x = 7,592,572,877,913,475,514,368
  5. Step 5: Solve for x
    x = 7,592,572,877,913,475,514,368/42,955,277,256
  6. Step 6: Final answer
    x = 176,755,299,067.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.