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Finding the Third Proportional to 733,537,890 and 1,097,398,668.38

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Solution

The third proportional to 733,537,890 and 1,097,398,668.38 is: 1,641,747,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,537,890 : 1,097,398,668.38 = 1,097,398,668.38 : x
  2. Step 2: Convert to fraction form
    733,537,890/1,097,398,668.38 = 1,097,398,668.38/x
  3. Step 3: Cross multiply
    733,537,890x = 1,097,398,668.38 × 1,097,398,668.38
  4. Step 4: Simplify right side
    733,537,890x = 1,204,283,837,351,223,296
  5. Step 5: Solve for x
    x = 1,204,283,837,351,223,296/733,537,890
  6. Step 6: Final answer
    x = 1,641,747,282.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.