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Finding the Third Proportional to 6,464,848 and 14,141,295

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Solution

The third proportional to 6,464,848 and 14,141,295 is: 30,932,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464,848 : 14,141,295 = 14,141,295 : x
  2. Step 2: Convert to fraction form
    6,464,848/14,141,295 = 14,141,295/x
  3. Step 3: Cross multiply
    6,464,848x = 14,141,295 × 14,141,295
  4. Step 4: Simplify right side
    6,464,848x = 199,976,224,277,025
  5. Step 5: Solve for x
    x = 199,976,224,277,025/6,464,848
  6. Step 6: Final answer
    x = 30,932,857.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.