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Finding the Third Proportional to 11,934,117 and 17,677,413

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Solution

The third proportional to 11,934,117 and 17,677,413 is: 26,184,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,934,117 : 17,677,413 = 17,677,413 : x
  2. Step 2: Convert to fraction form
    11,934,117/17,677,413 = 17,677,413/x
  3. Step 3: Cross multiply
    11,934,117x = 17,677,413 × 17,677,413
  4. Step 4: Simplify right side
    11,934,117x = 312,490,930,372,569
  5. Step 5: Solve for x
    x = 312,490,930,372,569/11,934,117
  6. Step 6: Final answer
    x = 26,184,671.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.