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Finding the Third Proportional to 3,613,309,256 and 5,523,817,404

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Solution

The third proportional to 3,613,309,256 and 5,523,817,404 is: 8,444,491,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613,309,256 : 5,523,817,404 = 5,523,817,404 : x
  2. Step 2: Convert to fraction form
    3,613,309,256/5,523,817,404 = 5,523,817,404/x
  3. Step 3: Cross multiply
    3,613,309,256x = 5,523,817,404 × 5,523,817,404
  4. Step 4: Simplify right side
    3,613,309,256x = 30,512,558,712,733,298,688
  5. Step 5: Solve for x
    x = 30,512,558,712,733,298,688/3,613,309,256
  6. Step 6: Final answer
    x = 8,444,491,337.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.