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Finding the Third Proportional to 904,662,224 and 1,969,515,880

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Solution

The third proportional to 904,662,224 and 1,969,515,880 is: 4,287,780,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,662,224 : 1,969,515,880 = 1,969,515,880 : x
  2. Step 2: Convert to fraction form
    904,662,224/1,969,515,880 = 1,969,515,880/x
  3. Step 3: Cross multiply
    904,662,224x = 1,969,515,880 × 1,969,515,880
  4. Step 4: Simplify right side
    904,662,224x = 3,878,992,801,572,174,336
  5. Step 5: Solve for x
    x = 3,878,992,801,572,174,336/904,662,224
  6. Step 6: Final answer
    x = 4,287,780,232.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.