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Finding the Third Proportional to 20,300,411 and 47,906,907

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Solution

The third proportional to 20,300,411 and 47,906,907 is: 113,055,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,300,411 : 47,906,907 = 47,906,907 : x
  2. Step 2: Convert to fraction form
    20,300,411/47,906,907 = 47,906,907/x
  3. Step 3: Cross multiply
    20,300,411x = 47,906,907 × 47,906,907
  4. Step 4: Simplify right side
    20,300,411x = 2,295,071,738,306,649
  5. Step 5: Solve for x
    x = 2,295,071,738,306,649/20,300,411
  6. Step 6: Final answer
    x = 113,055,432.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.