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Finding the Third Proportional to 8,510,294,262 and 18,623,741,409

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Solution

The third proportional to 8,510,294,262 and 18,623,741,409 is: 40,755,787,448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510,294,262 : 18,623,741,409 = 18,623,741,409 : x
  2. Step 2: Convert to fraction form
    8,510,294,262/18,623,741,409 = 18,623,741,409/x
  3. Step 3: Cross multiply
    8,510,294,262x = 18,623,741,409 × 18,623,741,409
  4. Step 4: Simplify right side
    8,510,294,262x = 346,843,744,069,301,305,344
  5. Step 5: Solve for x
    x = 346,843,744,069,301,305,344/8,510,294,262
  6. Step 6: Final answer
    x = 40,755,787,448.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.