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Finding the Third Proportional to 7,855,252,584 and 11,771,388,236.25

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Solution

The third proportional to 7,855,252,584 and 11,771,388,236.25 is: 17,639,863,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855,252,584 : 11,771,388,236.25 = 11,771,388,236.25 : x
  2. Step 2: Convert to fraction form
    7,855,252,584/11,771,388,236.25 = 11,771,388,236.25/x
  3. Step 3: Cross multiply
    7,855,252,584x = 11,771,388,236.25 × 11,771,388,236.25
  4. Step 4: Simplify right side
    7,855,252,584x = 138,565,581,008,524,886,016
  5. Step 5: Solve for x
    x = 138,565,581,008,524,886,016/7,855,252,584
  6. Step 6: Final answer
    x = 17,639,863,203.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.