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Finding the Third Proportional to 8,300,494,101,985.20 and 18,261,057,991,868

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Solution

The third proportional to 8,300,494,101,985.20 and 18,261,057,991,868 is: 40,174,263,710,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300,494,101,985.20 : 18,261,057,991,868 = 18,261,057,991,868 : x
  2. Step 2: Convert to fraction form
    8,300,494,101,985.20/18,261,057,991,868 = 18,261,057,991,868/x
  3. Step 3: Cross multiply
    8,300,494,101,985.20x = 18,261,057,991,868 × 18,261,057,991,868
  4. Step 4: Simplify right side
    8,300,494,101,985.20x = 333,466,238,982,366,157,292,437,504
  5. Step 5: Solve for x
    x = 333,466,238,982,366,157,292,437,504/8,300,494,101,985.20
  6. Step 6: Final answer
    x = 40,174,263,710,712.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.