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Finding the Third Proportional to 199,811,122,944 and 431,468,673,576

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Solution

The third proportional to 199,811,122,944 and 431,468,673,576 is: 931,705,970,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,811,122,944 : 431,468,673,576 = 431,468,673,576 : x
  2. Step 2: Convert to fraction form
    199,811,122,944/431,468,673,576 = 431,468,673,576/x
  3. Step 3: Cross multiply
    199,811,122,944x = 431,468,673,576 × 431,468,673,576
  4. Step 4: Simplify right side
    199,811,122,944x = 186,165,216,277,432,855,691,264
  5. Step 5: Solve for x
    x = 186,165,216,277,432,855,691,264/199,811,122,944
  6. Step 6: Final answer
    x = 931,705,970,791.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.