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Finding the Third Proportional to 33,982,813,320 and 53,309,006,520

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Solution

The third proportional to 33,982,813,320 and 53,309,006,520 is: 83,626,100,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,982,813,320 : 53,309,006,520 = 53,309,006,520 : x
  2. Step 2: Convert to fraction form
    33,982,813,320/53,309,006,520 = 53,309,006,520/x
  3. Step 3: Cross multiply
    33,982,813,320x = 53,309,006,520 × 53,309,006,520
  4. Step 4: Simplify right side
    33,982,813,320x = 2,841,850,176,149,402,419,200
  5. Step 5: Solve for x
    x = 2,841,850,176,149,402,419,200/33,982,813,320
  6. Step 6: Final answer
    x = 83,626,100,917.22

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.