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Finding the Third Proportional to 10,365,923 and 22,554,980

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Solution

The third proportional to 10,365,923 and 22,554,980 is: 49,076,876.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365,923 : 22,554,980 = 22,554,980 : x
  2. Step 2: Convert to fraction form
    10,365,923/22,554,980 = 22,554,980/x
  3. Step 3: Cross multiply
    10,365,923x = 22,554,980 × 22,554,980
  4. Step 4: Simplify right side
    10,365,923x = 508,727,122,800,400
  5. Step 5: Solve for x
    x = 508,727,122,800,400/10,365,923
  6. Step 6: Final answer
    x = 49,076,876.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.