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Finding the Third Proportional to 5,503,260 and 11,672,461

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Solution

The third proportional to 5,503,260 and 11,672,461 is: 24,757,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503,260 : 11,672,461 = 11,672,461 : x
  2. Step 2: Convert to fraction form
    5,503,260/11,672,461 = 11,672,461/x
  3. Step 3: Cross multiply
    5,503,260x = 11,672,461 × 11,672,461
  4. Step 4: Simplify right side
    5,503,260x = 136,246,345,796,521
  5. Step 5: Solve for x
    x = 136,246,345,796,521/5,503,260
  6. Step 6: Final answer
    x = 24,757,388.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.