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Finding the Third Proportional to 1,233,182,929 and 2,910,091,028

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Solution

The third proportional to 1,233,182,929 and 2,910,091,028 is: 6,867,294,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,182,929 : 2,910,091,028 = 2,910,091,028 : x
  2. Step 2: Convert to fraction form
    1,233,182,929/2,910,091,028 = 2,910,091,028/x
  3. Step 3: Cross multiply
    1,233,182,929x = 2,910,091,028 × 2,910,091,028
  4. Step 4: Simplify right side
    1,233,182,929x = 8,468,629,791,246,096,384
  5. Step 5: Solve for x
    x = 8,468,629,791,246,096,384/1,233,182,929
  6. Step 6: Final answer
    x = 6,867,294,050.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.