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Finding the Third Proportional to 6,422,416 and 9,949,848

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Solution

The third proportional to 6,422,416 and 9,949,848 is: 15,414,678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422,416 : 9,949,848 = 9,949,848 : x
  2. Step 2: Convert to fraction form
    6,422,416/9,949,848 = 9,949,848/x
  3. Step 3: Cross multiply
    6,422,416x = 9,949,848 × 9,949,848
  4. Step 4: Simplify right side
    6,422,416x = 98,999,475,223,104
  5. Step 5: Solve for x
    x = 98,999,475,223,104/6,422,416
  6. Step 6: Final answer
    x = 15,414,678.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.