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Finding the Third Proportional to 6,504,138 and 13,740,840

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Solution

The third proportional to 6,504,138 and 13,740,840 is: 29,029,317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504,138 : 13,740,840 = 13,740,840 : x
  2. Step 2: Convert to fraction form
    6,504,138/13,740,840 = 13,740,840/x
  3. Step 3: Cross multiply
    6,504,138x = 13,740,840 × 13,740,840
  4. Step 4: Simplify right side
    6,504,138x = 188,810,683,905,600
  5. Step 5: Solve for x
    x = 188,810,683,905,600/6,504,138
  6. Step 6: Final answer
    x = 29,029,317.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.