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Finding the Third Proportional to 10,596,120 and 22,886,192

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Solution

The third proportional to 10,596,120 and 22,886,192 is: 49,431,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596,120 : 22,886,192 = 22,886,192 : x
  2. Step 2: Convert to fraction form
    10,596,120/22,886,192 = 22,886,192/x
  3. Step 3: Cross multiply
    10,596,120x = 22,886,192 × 22,886,192
  4. Step 4: Simplify right side
    10,596,120x = 523,777,784,260,864
  5. Step 5: Solve for x
    x = 523,777,784,260,864/10,596,120
  6. Step 6: Final answer
    x = 49,431,092.16

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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.