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Finding the Third Proportional to 6,415,665 and 13,362,114

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Solution

The third proportional to 6,415,665 and 13,362,114 is: 27,829,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415,665 : 13,362,114 = 13,362,114 : x
  2. Step 2: Convert to fraction form
    6,415,665/13,362,114 = 13,362,114/x
  3. Step 3: Cross multiply
    6,415,665x = 13,362,114 × 13,362,114
  4. Step 4: Simplify right side
    6,415,665x = 178,546,090,548,996
  5. Step 5: Solve for x
    x = 178,546,090,548,996/6,415,665
  6. Step 6: Final answer
    x = 27,829,709.09

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.