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Finding the Third Proportional to 387,049,022,174 and 538,160,727,418

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Solution

The third proportional to 387,049,022,174 and 538,160,727,418 is: 748,269,474,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,049,022,174 : 538,160,727,418 = 538,160,727,418 : x
  2. Step 2: Convert to fraction form
    387,049,022,174/538,160,727,418 = 538,160,727,418/x
  3. Step 3: Cross multiply
    387,049,022,174x = 538,160,727,418 × 538,160,727,418
  4. Step 4: Simplify right side
    387,049,022,174x = 289,616,968,535,070,887,378,944
  5. Step 5: Solve for x
    x = 289,616,968,535,070,887,378,944/387,049,022,174
  6. Step 6: Final answer
    x = 748,269,474,776.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.