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Finding the Third Proportional to 9,702,320 and 19,689,738

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Solution

The third proportional to 9,702,320 and 19,689,738 is: 39,958,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702,320 : 19,689,738 = 19,689,738 : x
  2. Step 2: Convert to fraction form
    9,702,320/19,689,738 = 19,689,738/x
  3. Step 3: Cross multiply
    9,702,320x = 19,689,738 × 19,689,738
  4. Step 4: Simplify right side
    9,702,320x = 387,685,782,508,644
  5. Step 5: Solve for x
    x = 387,685,782,508,644/9,702,320
  6. Step 6: Final answer
    x = 39,958,049.47

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.