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Finding the Third Proportional to 9,795,324 and 22,873,686

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Solution

The third proportional to 9,795,324 and 22,873,686 is: 53,413,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795,324 : 22,873,686 = 22,873,686 : x
  2. Step 2: Convert to fraction form
    9,795,324/22,873,686 = 22,873,686/x
  3. Step 3: Cross multiply
    9,795,324x = 22,873,686 × 22,873,686
  4. Step 4: Simplify right side
    9,795,324x = 523,205,511,226,596
  5. Step 5: Solve for x
    x = 523,205,511,226,596/9,795,324
  6. Step 6: Final answer
    x = 53,413,803.49

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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.