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Finding the Third Proportional to 2,458,261,330 and 5,406,851,724

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Solution

The third proportional to 2,458,261,330 and 5,406,851,724 is: 11,892,163,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458,261,330 : 5,406,851,724 = 5,406,851,724 : x
  2. Step 2: Convert to fraction form
    2,458,261,330/5,406,851,724 = 5,406,851,724/x
  3. Step 3: Cross multiply
    2,458,261,330x = 5,406,851,724 × 5,406,851,724
  4. Step 4: Simplify right side
    2,458,261,330x = 29,234,045,565,321,773,056
  5. Step 5: Solve for x
    x = 29,234,045,565,321,773,056/2,458,261,330
  6. Step 6: Final answer
    x = 11,892,163,460.64

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