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Finding the Third Proportional to 10,086,274,657 and 22,072,582,366

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Solution

The third proportional to 10,086,274,657 and 22,072,582,366 is: 48,303,155,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086,274,657 : 22,072,582,366 = 22,072,582,366 : x
  2. Step 2: Convert to fraction form
    10,086,274,657/22,072,582,366 = 22,072,582,366/x
  3. Step 3: Cross multiply
    10,086,274,657x = 22,072,582,366 × 22,072,582,366
  4. Step 4: Simplify right side
    10,086,274,657x = 487,198,892,303,854,141,440
  5. Step 5: Solve for x
    x = 487,198,892,303,854,141,440/10,086,274,657
  6. Step 6: Final answer
    x = 48,303,155,413.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.