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Finding the Third Proportional to 2,771,838,873 and 5,772,965,013

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Solution

The third proportional to 2,771,838,873 and 5,772,965,013 is: 12,023,471,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771,838,873 : 5,772,965,013 = 5,772,965,013 : x
  2. Step 2: Convert to fraction form
    2,771,838,873/5,772,965,013 = 5,772,965,013/x
  3. Step 3: Cross multiply
    2,771,838,873x = 5,772,965,013 × 5,772,965,013
  4. Step 4: Simplify right side
    2,771,838,873x = 33,327,125,041,322,090,496
  5. Step 5: Solve for x
    x = 33,327,125,041,322,090,496/2,771,838,873
  6. Step 6: Final answer
    x = 12,023,471,265.22

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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.