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Finding the Third Proportional to 4,723,021 and 9,782,109

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Solution

The third proportional to 4,723,021 and 9,782,109 is: 20,260,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,021 : 9,782,109 = 9,782,109 : x
  2. Step 2: Convert to fraction form
    4,723,021/9,782,109 = 9,782,109/x
  3. Step 3: Cross multiply
    4,723,021x = 9,782,109 × 9,782,109
  4. Step 4: Simplify right side
    4,723,021x = 95,689,656,487,881
  5. Step 5: Solve for x
    x = 95,689,656,487,881/4,723,021
  6. Step 6: Final answer
    x = 20,260,264.88

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.