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Finding the Third Proportional to 7,853,436 and 11,521,575

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Solution

The third proportional to 7,853,436 and 11,521,575 is: 16,903,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853,436 : 11,521,575 = 11,521,575 : x
  2. Step 2: Convert to fraction form
    7,853,436/11,521,575 = 11,521,575/x
  3. Step 3: Cross multiply
    7,853,436x = 11,521,575 × 11,521,575
  4. Step 4: Simplify right side
    7,853,436x = 132,746,690,480,625
  5. Step 5: Solve for x
    x = 132,746,690,480,625/7,853,436
  6. Step 6: Final answer
    x = 16,903,007.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.