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Finding the Third Proportional to 9,795,366 and 22,873,772

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Solution

The third proportional to 9,795,366 and 22,873,772 is: 53,413,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795,366 : 22,873,772 = 22,873,772 : x
  2. Step 2: Convert to fraction form
    9,795,366/22,873,772 = 22,873,772/x
  3. Step 3: Cross multiply
    9,795,366x = 22,873,772 × 22,873,772
  4. Step 4: Simplify right side
    9,795,366x = 523,209,445,507,984
  5. Step 5: Solve for x
    x = 523,209,445,507,984/9,795,366
  6. Step 6: Final answer
    x = 53,413,976.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.