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Finding the Third Proportional to 8,191,800 and 11,027,772

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Solution

The third proportional to 8,191,800 and 11,027,772 is: 14,845,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191,800 : 11,027,772 = 11,027,772 : x
  2. Step 2: Convert to fraction form
    8,191,800/11,027,772 = 11,027,772/x
  3. Step 3: Cross multiply
    8,191,800x = 11,027,772 × 11,027,772
  4. Step 4: Simplify right side
    8,191,800x = 121,611,755,283,984
  5. Step 5: Solve for x
    x = 121,611,755,283,984/8,191,800
  6. Step 6: Final answer
    x = 14,845,547.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.