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Finding the Third Proportional to 9,790,382 and 14,101,077

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Solution

The third proportional to 9,790,382 and 14,101,077 is: 20,309,766.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790,382 : 14,101,077 = 14,101,077 : x
  2. Step 2: Convert to fraction form
    9,790,382/14,101,077 = 14,101,077/x
  3. Step 3: Cross multiply
    9,790,382x = 14,101,077 × 14,101,077
  4. Step 4: Simplify right side
    9,790,382x = 198,840,372,559,929
  5. Step 5: Solve for x
    x = 198,840,372,559,929/9,790,382
  6. Step 6: Final answer
    x = 20,309,766.52

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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.