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Finding the Third Proportional to 241,566,882,978 and 525,545,700,288

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Solution

The third proportional to 241,566,882,978 and 525,545,700,288 is: 1,143,361,538,991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,566,882,978 : 525,545,700,288 = 525,545,700,288 : x
  2. Step 2: Convert to fraction form
    241,566,882,978/525,545,700,288 = 525,545,700,288/x
  3. Step 3: Cross multiply
    241,566,882,978x = 525,545,700,288 × 525,545,700,288
  4. Step 4: Simplify right side
    241,566,882,978x = 276,198,283,091,204,313,710,592
  5. Step 5: Solve for x
    x = 276,198,283,091,204,313,710,592/241,566,882,978
  6. Step 6: Final answer
    x = 1,143,361,538,991.91

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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.