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Finding the Third Proportional to 408,646,296 and 907,991,856

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Solution

The third proportional to 408,646,296 and 907,991,856 is: 2,017,512,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,646,296 : 907,991,856 = 907,991,856 : x
  2. Step 2: Convert to fraction form
    408,646,296/907,991,856 = 907,991,856/x
  3. Step 3: Cross multiply
    408,646,296x = 907,991,856 × 907,991,856
  4. Step 4: Simplify right side
    408,646,296x = 824,449,210,562,324,736
  5. Step 5: Solve for x
    x = 824,449,210,562,324,736/408,646,296
  6. Step 6: Final answer
    x = 2,017,512,990.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.