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Finding the Third Proportional to 5,709,199 and 12,309,640

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Solution

The third proportional to 5,709,199 and 12,309,640 is: 26,540,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,199 : 12,309,640 = 12,309,640 : x
  2. Step 2: Convert to fraction form
    5,709,199/12,309,640 = 12,309,640/x
  3. Step 3: Cross multiply
    5,709,199x = 12,309,640 × 12,309,640
  4. Step 4: Simplify right side
    5,709,199x = 151,527,236,929,600
  5. Step 5: Solve for x
    x = 151,527,236,929,600/5,709,199
  6. Step 6: Final answer
    x = 26,540,892.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.