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Finding the Third Proportional to 2,771,838,891 and 5,772,965,046

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Solution

The third proportional to 2,771,838,891 and 5,772,965,046 is: 12,023,471,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771,838,891 : 5,772,965,046 = 5,772,965,046 : x
  2. Step 2: Convert to fraction form
    2,771,838,891/5,772,965,046 = 5,772,965,046/x
  3. Step 3: Cross multiply
    2,771,838,891x = 5,772,965,046 × 5,772,965,046
  4. Step 4: Simplify right side
    2,771,838,891x = 33,327,125,422,337,781,760
  5. Step 5: Solve for x
    x = 33,327,125,422,337,781,760/2,771,838,891
  6. Step 6: Final answer
    x = 12,023,471,324.60

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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.