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Finding the Third Proportional to 1,067,265,903 and 2,312,678,022

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Solution

The third proportional to 1,067,265,903 and 2,312,678,022 is: 5,011,384,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067,265,903 : 2,312,678,022 = 2,312,678,022 : x
  2. Step 2: Convert to fraction form
    1,067,265,903/2,312,678,022 = 2,312,678,022/x
  3. Step 3: Cross multiply
    1,067,265,903x = 2,312,678,022 × 2,312,678,022
  4. Step 4: Simplify right side
    1,067,265,903x = 5,348,479,633,441,832,960
  5. Step 5: Solve for x
    x = 5,348,479,633,441,832,960/1,067,265,903
  6. Step 6: Final answer
    x = 5,011,384,340.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.