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Finding the Third Proportional to 1,017,737,617 and 2,215,691,129

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Solution

The third proportional to 1,017,737,617 and 2,215,691,129 is: 4,823,725,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,737,617 : 2,215,691,129 = 2,215,691,129 : x
  2. Step 2: Convert to fraction form
    1,017,737,617/2,215,691,129 = 2,215,691,129/x
  3. Step 3: Cross multiply
    1,017,737,617x = 2,215,691,129 × 2,215,691,129
  4. Step 4: Simplify right side
    1,017,737,617x = 4,909,287,179,129,294,848
  5. Step 5: Solve for x
    x = 4,909,287,179,129,294,848/1,017,737,617
  6. Step 6: Final answer
    x = 4,823,725,778.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.