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Finding the Third Proportional to 9,616,729 and 20,306,546

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Solution

The third proportional to 9,616,729 and 20,306,546 is: 42,879,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616,729 : 20,306,546 = 20,306,546 : x
  2. Step 2: Convert to fraction form
    9,616,729/20,306,546 = 20,306,546/x
  3. Step 3: Cross multiply
    9,616,729x = 20,306,546 × 20,306,546
  4. Step 4: Simplify right side
    9,616,729x = 412,355,810,450,116
  5. Step 5: Solve for x
    x = 412,355,810,450,116/9,616,729
  6. Step 6: Final answer
    x = 42,879,009.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.