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Finding the Third Proportional to 11,786,463.84 and 17,607,108.66

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Solution

The third proportional to 11,786,463.84 and 17,607,108.66 is: 26,302,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786,463.84 : 17,607,108.66 = 17,607,108.66 : x
  2. Step 2: Convert to fraction form
    11,786,463.84/17,607,108.66 = 17,607,108.66/x
  3. Step 3: Cross multiply
    11,786,463.84x = 17,607,108.66 × 17,607,108.66
  4. Step 4: Simplify right side
    11,786,463.84x = 310,010,275,232,993.69
  5. Step 5: Solve for x
    x = 310,010,275,232,993.69/11,786,463.84
  6. Step 6: Final answer
    x = 26,302,229.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.