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Finding the Third Proportional to 12,233,032 and 17,144,511

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Solution

The third proportional to 12,233,032 and 17,144,511 is: 24,027,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233,032 : 17,144,511 = 17,144,511 : x
  2. Step 2: Convert to fraction form
    12,233,032/17,144,511 = 17,144,511/x
  3. Step 3: Cross multiply
    12,233,032x = 17,144,511 × 17,144,511
  4. Step 4: Simplify right side
    12,233,032x = 293,934,257,429,121
  5. Step 5: Solve for x
    x = 293,934,257,429,121/12,233,032
  6. Step 6: Final answer
    x = 24,027,915.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.