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Finding the Third Proportional to 19,826,109 and 30,309,005

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Solution

The third proportional to 19,826,109 and 30,309,005 is: 46,334,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826,109 : 30,309,005 = 30,309,005 : x
  2. Step 2: Convert to fraction form
    19,826,109/30,309,005 = 30,309,005/x
  3. Step 3: Cross multiply
    19,826,109x = 30,309,005 × 30,309,005
  4. Step 4: Simplify right side
    19,826,109x = 918,635,784,090,025
  5. Step 5: Solve for x
    x = 918,635,784,090,025/19,826,109
  6. Step 6: Final answer
    x = 46,334,648.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.