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Finding the Third Proportional to 6,371,196 and 13,861,980

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Solution

The third proportional to 6,371,196 and 13,861,980 is: 30,159,877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371,196 : 13,861,980 = 13,861,980 : x
  2. Step 2: Convert to fraction form
    6,371,196/13,861,980 = 13,861,980/x
  3. Step 3: Cross multiply
    6,371,196x = 13,861,980 × 13,861,980
  4. Step 4: Simplify right side
    6,371,196x = 192,154,489,520,400
  5. Step 5: Solve for x
    x = 192,154,489,520,400/6,371,196
  6. Step 6: Final answer
    x = 30,159,877.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.