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Finding the Third Proportional to 241,566,882,974 and 525,545,700,278

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Solution

The third proportional to 241,566,882,974 and 525,545,700,278 is: 1,143,361,538,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,566,882,974 : 525,545,700,278 = 525,545,700,278 : x
  2. Step 2: Convert to fraction form
    241,566,882,974/525,545,700,278 = 525,545,700,278/x
  3. Step 3: Cross multiply
    241,566,882,974x = 525,545,700,278 × 525,545,700,278
  4. Step 4: Simplify right side
    241,566,882,974x = 276,198,283,080,693,421,441,024
  5. Step 5: Solve for x
    x = 276,198,283,080,693,421,441,024/241,566,882,974
  6. Step 6: Final answer
    x = 1,143,361,538,967.33

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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.