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Finding the Third Proportional to 74,913,856,824 and 108,237,586,394

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Solution

The third proportional to 74,913,856,824 and 108,237,586,394 is: 156,384,621,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,913,856,824 : 108,237,586,394 = 108,237,586,394 : x
  2. Step 2: Convert to fraction form
    74,913,856,824/108,237,586,394 = 108,237,586,394/x
  3. Step 3: Cross multiply
    74,913,856,824x = 108,237,586,394 × 108,237,586,394
  4. Step 4: Simplify right side
    74,913,856,824x = 11,715,375,108,398,614,839,296
  5. Step 5: Solve for x
    x = 11,715,375,108,398,614,839,296/74,913,856,824
  6. Step 6: Final answer
    x = 156,384,621,017.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.