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Finding the Third Proportional to 11,771,824.50 and 17,669,475

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Solution

The third proportional to 11,771,824.50 and 17,669,475 is: 26,521,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771,824.50 : 17,669,475 = 17,669,475 : x
  2. Step 2: Convert to fraction form
    11,771,824.50/17,669,475 = 17,669,475/x
  3. Step 3: Cross multiply
    11,771,824.50x = 17,669,475 × 17,669,475
  4. Step 4: Simplify right side
    11,771,824.50x = 312,210,346,775,625
  5. Step 5: Solve for x
    x = 312,210,346,775,625/11,771,824.50
  6. Step 6: Final answer
    x = 26,521,831.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.