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Finding the Third Proportional to 2,458,261,322 and 5,406,851,700

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Solution

The third proportional to 2,458,261,322 and 5,406,851,700 is: 11,892,163,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458,261,322 : 5,406,851,700 = 5,406,851,700 : x
  2. Step 2: Convert to fraction form
    2,458,261,322/5,406,851,700 = 5,406,851,700/x
  3. Step 3: Cross multiply
    2,458,261,322x = 5,406,851,700 × 5,406,851,700
  4. Step 4: Simplify right side
    2,458,261,322x = 29,234,045,305,792,888,832
  5. Step 5: Solve for x
    x = 29,234,045,305,792,888,832/2,458,261,322
  6. Step 6: Final answer
    x = 11,892,163,393.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.