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Finding the Third Proportional to 5,423,658 and 11,677,564

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Solution

The third proportional to 5,423,658 and 11,677,564 is: 25,142,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423,658 : 11,677,564 = 11,677,564 : x
  2. Step 2: Convert to fraction form
    5,423,658/11,677,564 = 11,677,564/x
  3. Step 3: Cross multiply
    5,423,658x = 11,677,564 × 11,677,564
  4. Step 4: Simplify right side
    5,423,658x = 136,365,500,974,096
  5. Step 5: Solve for x
    x = 136,365,500,974,096/5,423,658
  6. Step 6: Final answer
    x = 25,142,717.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.