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Finding the Third Proportional to 31,346,104 and 48,416,640

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Solution

The third proportional to 31,346,104 and 48,416,640 is: 74,783,489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,346,104 : 48,416,640 = 48,416,640 : x
  2. Step 2: Convert to fraction form
    31,346,104/48,416,640 = 48,416,640/x
  3. Step 3: Cross multiply
    31,346,104x = 48,416,640 × 48,416,640
  4. Step 4: Simplify right side
    31,346,104x = 2,344,171,028,889,600
  5. Step 5: Solve for x
    x = 2,344,171,028,889,600/31,346,104
  6. Step 6: Final answer
    x = 74,783,489.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.