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Finding the Third Proportional to 1,378,196,224 and 2,118,382,656

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Solution

The third proportional to 1,378,196,224 and 2,118,382,656 is: 3,256,100,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,196,224 : 2,118,382,656 = 2,118,382,656 : x
  2. Step 2: Convert to fraction form
    1,378,196,224/2,118,382,656 = 2,118,382,656/x
  3. Step 3: Cross multiply
    1,378,196,224x = 2,118,382,656 × 2,118,382,656
  4. Step 4: Simplify right side
    1,378,196,224x = 4,487,545,077,241,614,336
  5. Step 5: Solve for x
    x = 4,487,545,077,241,614,336/1,378,196,224
  6. Step 6: Final answer
    x = 3,256,100,255.61

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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.