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Finding the Third Proportional to 3,613,324,405 and 5,523,865,433

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Solution

The third proportional to 3,613,324,405 and 5,523,865,433 is: 8,444,602,781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613,324,405 : 5,523,865,433 = 5,523,865,433 : x
  2. Step 2: Convert to fraction form
    3,613,324,405/5,523,865,433 = 5,523,865,433/x
  3. Step 3: Cross multiply
    3,613,324,405x = 5,523,865,433 × 5,523,865,433
  4. Step 4: Simplify right side
    3,613,324,405x = 30,513,089,321,892,278,272
  5. Step 5: Solve for x
    x = 30,513,089,321,892,278,272/3,613,324,405
  6. Step 6: Final answer
    x = 8,444,602,781.77

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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.