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Finding the Third Proportional to 2,451,772,157,994 and 5,728,446,263,151

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Solution

The third proportional to 2,451,772,157,994 and 5,728,446,263,151 is: 13,384,235,758,944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451,772,157,994 : 5,728,446,263,151 = 5,728,446,263,151 : x
  2. Step 2: Convert to fraction form
    2,451,772,157,994/5,728,446,263,151 = 5,728,446,263,151/x
  3. Step 3: Cross multiply
    2,451,772,157,994x = 5,728,446,263,151 × 5,728,446,263,151
  4. Step 4: Simplify right side
    2,451,772,157,994x = 32,815,096,589,808,657,489,723,392
  5. Step 5: Solve for x
    x = 32,815,096,589,808,657,489,723,392/2,451,772,157,994
  6. Step 6: Final answer
    x = 13,384,235,758,944.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.