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Finding the Third Proportional to 6,107,280 and 13,266,912

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Solution

The third proportional to 6,107,280 and 13,266,912 is: 28,819,859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107,280 : 13,266,912 = 13,266,912 : x
  2. Step 2: Convert to fraction form
    6,107,280/13,266,912 = 13,266,912/x
  3. Step 3: Cross multiply
    6,107,280x = 13,266,912 × 13,266,912
  4. Step 4: Simplify right side
    6,107,280x = 176,010,954,015,744
  5. Step 5: Solve for x
    x = 176,010,954,015,744/6,107,280
  6. Step 6: Final answer
    x = 28,819,859.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.