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Finding the Third Proportional to 60,223,038,976 and 91,110,376,880

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Solution

The third proportional to 60,223,038,976 and 91,110,376,880 is: 137,839,287,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,223,038,976 : 91,110,376,880 = 91,110,376,880 : x
  2. Step 2: Convert to fraction form
    60,223,038,976/91,110,376,880 = 91,110,376,880/x
  3. Step 3: Cross multiply
    60,223,038,976x = 91,110,376,880 × 91,110,376,880
  4. Step 4: Simplify right side
    60,223,038,976x = 8,301,100,775,215,638,511,616
  5. Step 5: Solve for x
    x = 8,301,100,775,215,638,511,616/60,223,038,976
  6. Step 6: Final answer
    x = 137,839,287,361.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.