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Finding the Third Proportional to 10,296,972 and 13,968,774

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Solution

The third proportional to 10,296,972 and 13,968,774 is: 18,949,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296,972 : 13,968,774 = 13,968,774 : x
  2. Step 2: Convert to fraction form
    10,296,972/13,968,774 = 13,968,774/x
  3. Step 3: Cross multiply
    10,296,972x = 13,968,774 × 13,968,774
  4. Step 4: Simplify right side
    10,296,972x = 195,126,647,063,076
  5. Step 5: Solve for x
    x = 195,126,647,063,076/10,296,972
  6. Step 6: Final answer
    x = 18,949,905.57

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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.