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Finding the Third Proportional to 6,195,895 and 13,421,137

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Solution

The third proportional to 6,195,895 and 13,421,137 is: 29,071,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195,895 : 13,421,137 = 13,421,137 : x
  2. Step 2: Convert to fraction form
    6,195,895/13,421,137 = 13,421,137/x
  3. Step 3: Cross multiply
    6,195,895x = 13,421,137 × 13,421,137
  4. Step 4: Simplify right side
    6,195,895x = 180,126,918,372,769
  5. Step 5: Solve for x
    x = 180,126,918,372,769/6,195,895
  6. Step 6: Final answer
    x = 29,071,977.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.