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Finding the Third Proportional to 4,430,016 and 6,940,308

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Solution

The third proportional to 4,430,016 and 6,940,308 is: 10,873,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430,016 : 6,940,308 = 6,940,308 : x
  2. Step 2: Convert to fraction form
    4,430,016/6,940,308 = 6,940,308/x
  3. Step 3: Cross multiply
    4,430,016x = 6,940,308 × 6,940,308
  4. Step 4: Simplify right side
    4,430,016x = 48,167,875,134,864
  5. Step 5: Solve for x
    x = 48,167,875,134,864/4,430,016
  6. Step 6: Final answer
    x = 10,873,070.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.