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Finding the Third Proportional to 7,707,980,016 and 12,264,911,494.50

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Solution

The third proportional to 7,707,980,016 and 12,264,911,494.50 is: 19,515,885,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707,980,016 : 12,264,911,494.50 = 12,264,911,494.50 : x
  2. Step 2: Convert to fraction form
    7,707,980,016/12,264,911,494.50 = 12,264,911,494.50/x
  3. Step 3: Cross multiply
    7,707,980,016x = 12,264,911,494.50 × 12,264,911,494.50
  4. Step 4: Simplify right side
    7,707,980,016x = 150,428,053,967,918,235,648
  5. Step 5: Solve for x
    x = 150,428,053,967,918,235,648/7,707,980,016
  6. Step 6: Final answer
    x = 19,515,885,310.50

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.