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Finding the Third Proportional to 241,566,882,972 and 525,545,700,276

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Solution

The third proportional to 241,566,882,972 and 525,545,700,276 is: 1,143,361,538,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,566,882,972 : 525,545,700,276 = 525,545,700,276 : x
  2. Step 2: Convert to fraction form
    241,566,882,972/525,545,700,276 = 525,545,700,276/x
  3. Step 3: Cross multiply
    241,566,882,972x = 525,545,700,276 × 525,545,700,276
  4. Step 4: Simplify right side
    241,566,882,972x = 276,198,283,078,591,236,276,224
  5. Step 5: Solve for x
    x = 276,198,283,078,591,236,276,224/241,566,882,972
  6. Step 6: Final answer
    x = 1,143,361,538,968.09

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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.