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Finding the Third Proportional to 10,086,274,659 and 22,072,582,368.75

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Solution

The third proportional to 10,086,274,659 and 22,072,582,368.75 is: 48,303,155,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086,274,659 : 22,072,582,368.75 = 22,072,582,368.75 : x
  2. Step 2: Convert to fraction form
    10,086,274,659/22,072,582,368.75 = 22,072,582,368.75/x
  3. Step 3: Cross multiply
    10,086,274,659x = 22,072,582,368.75 × 22,072,582,368.75
  4. Step 4: Simplify right side
    10,086,274,659x = 487,198,892,425,253,355,520
  5. Step 5: Solve for x
    x = 487,198,892,425,253,355,520/10,086,274,659
  6. Step 6: Final answer
    x = 48,303,155,416.31

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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.