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Finding the Third Proportional to 853,415,781 and 1,861,893,324

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Solution

The third proportional to 853,415,781 and 1,861,893,324 is: 4,062,084,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,415,781 : 1,861,893,324 = 1,861,893,324 : x
  2. Step 2: Convert to fraction form
    853,415,781/1,861,893,324 = 1,861,893,324/x
  3. Step 3: Cross multiply
    853,415,781x = 1,861,893,324 × 1,861,893,324
  4. Step 4: Simplify right side
    853,415,781x = 3,466,646,749,955,768,832
  5. Step 5: Solve for x
    x = 3,466,646,749,955,768,832/853,415,781
  6. Step 6: Final answer
    x = 4,062,084,188.19

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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.