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Finding the Third Proportional to 241,566,882,964 and 525,545,700,260

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Solution

The third proportional to 241,566,882,964 and 525,545,700,260 is: 1,143,361,538,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,566,882,964 : 525,545,700,260 = 525,545,700,260 : x
  2. Step 2: Convert to fraction form
    241,566,882,964/525,545,700,260 = 525,545,700,260/x
  3. Step 3: Cross multiply
    241,566,882,964x = 525,545,700,260 × 525,545,700,260
  4. Step 4: Simplify right side
    241,566,882,964x = 276,198,283,061,773,754,957,824
  5. Step 5: Solve for x
    x = 276,198,283,061,773,754,957,824/241,566,882,964
  6. Step 6: Final answer
    x = 1,143,361,538,936.34

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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.