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Finding the Third Proportional to 9,505,998 and 20,527,101

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Solution

The third proportional to 9,505,998 and 20,527,101 is: 44,325,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505,998 : 20,527,101 = 20,527,101 : x
  2. Step 2: Convert to fraction form
    9,505,998/20,527,101 = 20,527,101/x
  3. Step 3: Cross multiply
    9,505,998x = 20,527,101 × 20,527,101
  4. Step 4: Simplify right side
    9,505,998x = 421,361,875,464,201
  5. Step 5: Solve for x
    x = 421,361,875,464,201/9,505,998
  6. Step 6: Final answer
    x = 44,325,895.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.