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Finding the Third Proportional to 2,811,619,656 and 5,855,955,365.25

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Solution

The third proportional to 2,811,619,656 and 5,855,955,365.25 is: 12,196,604,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811,619,656 : 5,855,955,365.25 = 5,855,955,365.25 : x
  2. Step 2: Convert to fraction form
    2,811,619,656/5,855,955,365.25 = 5,855,955,365.25/x
  3. Step 3: Cross multiply
    2,811,619,656x = 5,855,955,365.25 × 5,855,955,365.25
  4. Step 4: Simplify right side
    2,811,619,656x = 34,292,213,239,800,262,656
  5. Step 5: Solve for x
    x = 34,292,213,239,800,262,656/2,811,619,656
  6. Step 6: Final answer
    x = 12,196,604,603.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.