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Finding the Third Proportional to 3,640,530,069,546 and 7,921,940,083,872

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Solution

The third proportional to 3,640,530,069,546 and 7,921,940,083,872 is: 17,238,460,744,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640,530,069,546 : 7,921,940,083,872 = 7,921,940,083,872 : x
  2. Step 2: Convert to fraction form
    3,640,530,069,546/7,921,940,083,872 = 7,921,940,083,872/x
  3. Step 3: Cross multiply
    3,640,530,069,546x = 7,921,940,083,872 × 7,921,940,083,872
  4. Step 4: Simplify right side
    3,640,530,069,546x = 62,757,134,692,457,906,528,321,536
  5. Step 5: Solve for x
    x = 62,757,134,692,457,906,528,321,536/3,640,530,069,546
  6. Step 6: Final answer
    x = 17,238,460,744,339.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.