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Finding the Third Proportional to 8,947,194 and 13,681,008

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Solution

The third proportional to 8,947,194 and 13,681,008 is: 20,919,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947,194 : 13,681,008 = 13,681,008 : x
  2. Step 2: Convert to fraction form
    8,947,194/13,681,008 = 13,681,008/x
  3. Step 3: Cross multiply
    8,947,194x = 13,681,008 × 13,681,008
  4. Step 4: Simplify right side
    8,947,194x = 187,169,979,896,064
  5. Step 5: Solve for x
    x = 187,169,979,896,064/8,947,194
  6. Step 6: Final answer
    x = 20,919,405.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.