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Finding the Third Proportional to 9,621,119 and 20,746,084

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Solution

The third proportional to 9,621,119 and 20,746,084 is: 44,734,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,621,119 : 20,746,084 = 20,746,084 : x
  2. Step 2: Convert to fraction form
    9,621,119/20,746,084 = 20,746,084/x
  3. Step 3: Cross multiply
    9,621,119x = 20,746,084 × 20,746,084
  4. Step 4: Simplify right side
    9,621,119x = 430,400,001,335,056
  5. Step 5: Solve for x
    x = 430,400,001,335,056/9,621,119
  6. Step 6: Final answer
    x = 44,734,921.31

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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.