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Finding the Third Proportional to 10,296,560 and 13,968,216

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Solution

The third proportional to 10,296,560 and 13,968,216 is: 18,949,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296,560 : 13,968,216 = 13,968,216 : x
  2. Step 2: Convert to fraction form
    10,296,560/13,968,216 = 13,968,216/x
  3. Step 3: Cross multiply
    10,296,560x = 13,968,216 × 13,968,216
  4. Step 4: Simplify right side
    10,296,560x = 195,111,058,222,656
  5. Step 5: Solve for x
    x = 195,111,058,222,656/10,296,560
  6. Step 6: Final answer
    x = 18,949,149.83

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.