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Finding the Third Proportional to 13,475,464 and 20,733,672

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Solution

The third proportional to 13,475,464 and 20,733,672 is: 31,901,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475,464 : 20,733,672 = 20,733,672 : x
  2. Step 2: Convert to fraction form
    13,475,464/20,733,672 = 20,733,672/x
  3. Step 3: Cross multiply
    13,475,464x = 20,733,672 × 20,733,672
  4. Step 4: Simplify right side
    13,475,464x = 429,885,154,603,584
  5. Step 5: Solve for x
    x = 429,885,154,603,584/13,475,464
  6. Step 6: Final answer
    x = 31,901,324.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.