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Finding the Third Proportional to 33,589,722,996 and 72,164,326,572

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Solution

The third proportional to 33,589,722,996 and 72,164,326,572 is: 155,038,195,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,589,722,996 : 72,164,326,572 = 72,164,326,572 : x
  2. Step 2: Convert to fraction form
    33,589,722,996/72,164,326,572 = 72,164,326,572/x
  3. Step 3: Cross multiply
    33,589,722,996x = 72,164,326,572 × 72,164,326,572
  4. Step 4: Simplify right side
    33,589,722,996x = 5,207,690,029,590,265,200,640
  5. Step 5: Solve for x
    x = 5,207,690,029,590,265,200,640/33,589,722,996
  6. Step 6: Final answer
    x = 155,038,195,170.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.