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Finding the Third Proportional to 11,808,375 and 19,282,011

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Solution

The third proportional to 11,808,375 and 19,282,011 is: 31,485,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808,375 : 19,282,011 = 19,282,011 : x
  2. Step 2: Convert to fraction form
    11,808,375/19,282,011 = 19,282,011/x
  3. Step 3: Cross multiply
    11,808,375x = 19,282,011 × 19,282,011
  4. Step 4: Simplify right side
    11,808,375x = 371,795,948,204,121
  5. Step 5: Solve for x
    x = 371,795,948,204,121/11,808,375
  6. Step 6: Final answer
    x = 31,485,784.30

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.