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Finding the Third Proportional to 3,501,805,494 and 5,464,713,105

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Solution

The third proportional to 3,501,805,494 and 5,464,713,105 is: 8,527,912,064.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501,805,494 : 5,464,713,105 = 5,464,713,105 : x
  2. Step 2: Convert to fraction form
    3,501,805,494/5,464,713,105 = 5,464,713,105/x
  3. Step 3: Cross multiply
    3,501,805,494x = 5,464,713,105 × 5,464,713,105
  4. Step 4: Simplify right side
    3,501,805,494x = 29,863,089,319,958,740,992
  5. Step 5: Solve for x
    x = 29,863,089,319,958,740,992/3,501,805,494
  6. Step 6: Final answer
    x = 8,527,912,064.54

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.