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Finding the Third Proportional to 53,267,929,702 and 115,913,160,832

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Solution

The third proportional to 53,267,929,702 and 115,913,160,832 is: 252,231,707,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,267,929,702 : 115,913,160,832 = 115,913,160,832 : x
  2. Step 2: Convert to fraction form
    53,267,929,702/115,913,160,832 = 115,913,160,832/x
  3. Step 3: Cross multiply
    53,267,929,702x = 115,913,160,832 × 115,913,160,832
  4. Step 4: Simplify right side
    53,267,929,702x = 13,435,860,854,065,099,440,128
  5. Step 5: Solve for x
    x = 13,435,860,854,065,099,440,128/53,267,929,702
  6. Step 6: Final answer
    x = 252,231,707,318.65

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