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Finding the Third Proportional to 241,566,882,942 and 525,545,700,214

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Solution

The third proportional to 241,566,882,942 and 525,545,700,214 is: 1,143,361,538,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,566,882,942 : 525,545,700,214 = 525,545,700,214 : x
  2. Step 2: Convert to fraction form
    241,566,882,942/525,545,700,214 = 525,545,700,214/x
  3. Step 3: Cross multiply
    241,566,882,942x = 525,545,700,214 × 525,545,700,214
  4. Step 4: Simplify right side
    241,566,882,942x = 276,198,283,013,423,563,276,288
  5. Step 5: Solve for x
    x = 276,198,283,013,423,563,276,288/241,566,882,942
  6. Step 6: Final answer
    x = 1,143,361,538,840.32

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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.