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Finding the Third Proportional to 7,901,070,568 and 11,415,682,539

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Solution

The third proportional to 7,901,070,568 and 11,415,682,539 is: 16,493,689,900.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901,070,568 : 11,415,682,539 = 11,415,682,539 : x
  2. Step 2: Convert to fraction form
    7,901,070,568/11,415,682,539 = 11,415,682,539/x
  3. Step 3: Cross multiply
    7,901,070,568x = 11,415,682,539 × 11,415,682,539
  4. Step 4: Simplify right side
    7,901,070,568x = 130,317,807,831,229,480,960
  5. Step 5: Solve for x
    x = 130,317,807,831,229,480,960/7,901,070,568
  6. Step 6: Final answer
    x = 16,493,689,900.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.