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Finding the Third Proportional to 64,062,678 and 138,203,052

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Solution

The third proportional to 64,062,678 and 138,203,052 is: 298,146,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,062,678 : 138,203,052 = 138,203,052 : x
  2. Step 2: Convert to fraction form
    64,062,678/138,203,052 = 138,203,052/x
  3. Step 3: Cross multiply
    64,062,678x = 138,203,052 × 138,203,052
  4. Step 4: Simplify right side
    64,062,678x = 19,100,083,582,114,704
  5. Step 5: Solve for x
    x = 19,100,083,582,114,704/64,062,678
  6. Step 6: Final answer
    x = 298,146,817.75

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Why These Related Problems?

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