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Finding the Third Proportional to 3,857,287,383 and 8,372,144,430

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Solution

The third proportional to 3,857,287,383 and 8,372,144,430 is: 18,171,527,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,287,383 : 8,372,144,430 = 8,372,144,430 : x
  2. Step 2: Convert to fraction form
    3,857,287,383/8,372,144,430 = 8,372,144,430/x
  3. Step 3: Cross multiply
    3,857,287,383x = 8,372,144,430 × 8,372,144,430
  4. Step 4: Simplify right side
    3,857,287,383x = 70,092,802,356,780,023,808
  5. Step 5: Solve for x
    x = 70,092,802,356,780,023,808/3,857,287,383
  6. Step 6: Final answer
    x = 18,171,527,137.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.