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Finding the Third Proportional to 7,673,969,382 and 16,699,229,686.50

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Solution

The third proportional to 7,673,969,382 and 16,699,229,686.50 is: 36,338,986,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673,969,382 : 16,699,229,686.50 = 16,699,229,686.50 : x
  2. Step 2: Convert to fraction form
    7,673,969,382/16,699,229,686.50 = 16,699,229,686.50/x
  3. Step 3: Cross multiply
    7,673,969,382x = 16,699,229,686.50 × 16,699,229,686.50
  4. Step 4: Simplify right side
    7,673,969,382x = 278,864,272,122,482,884,608
  5. Step 5: Solve for x
    x = 278,864,272,122,482,884,608/7,673,969,382
  6. Step 6: Final answer
    x = 36,338,986,806.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.