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Finding the Third Proportional to 241,566,882,924 and 525,545,700,180

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Solution

The third proportional to 241,566,882,924 and 525,545,700,180 is: 1,143,361,538,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,566,882,924 : 525,545,700,180 = 525,545,700,180 : x
  2. Step 2: Convert to fraction form
    241,566,882,924/525,545,700,180 = 525,545,700,180/x
  3. Step 3: Cross multiply
    241,566,882,924x = 525,545,700,180 × 525,545,700,180
  4. Step 4: Simplify right side
    241,566,882,924x = 276,198,282,977,686,449,029,120
  5. Step 5: Solve for x
    x = 276,198,282,977,686,449,029,120/241,566,882,924
  6. Step 6: Final answer
    x = 1,143,361,538,777.57

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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.