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Finding the Third Proportional to 6,405,523 and 13,992,996

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Solution

The third proportional to 6,405,523 and 13,992,996 is: 30,567,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405,523 : 13,992,996 = 13,992,996 : x
  2. Step 2: Convert to fraction form
    6,405,523/13,992,996 = 13,992,996/x
  3. Step 3: Cross multiply
    6,405,523x = 13,992,996 × 13,992,996
  4. Step 4: Simplify right side
    6,405,523x = 195,803,937,056,016
  5. Step 5: Solve for x
    x = 195,803,937,056,016/6,405,523
  6. Step 6: Final answer
    x = 30,567,985.95

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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.