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Finding the Third Proportional to 338,347,540 and 538,377,450

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Solution

The third proportional to 338,347,540 and 538,377,450 is: 856,664,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,347,540 : 538,377,450 = 538,377,450 : x
  2. Step 2: Convert to fraction form
    338,347,540/538,377,450 = 538,377,450/x
  3. Step 3: Cross multiply
    338,347,540x = 538,377,450 × 538,377,450
  4. Step 4: Simplify right side
    338,347,540x = 289,850,278,668,502,528
  5. Step 5: Solve for x
    x = 289,850,278,668,502,528/338,347,540
  6. Step 6: Final answer
    x = 856,664,359.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.