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Finding the Third Proportional to 10,365,919 and 22,554,975

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Solution

The third proportional to 10,365,919 and 22,554,975 is: 49,076,873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365,919 : 22,554,975 = 22,554,975 : x
  2. Step 2: Convert to fraction form
    10,365,919/22,554,975 = 22,554,975/x
  3. Step 3: Cross multiply
    10,365,919x = 22,554,975 × 22,554,975
  4. Step 4: Simplify right side
    10,365,919x = 508,726,897,250,625
  5. Step 5: Solve for x
    x = 508,726,897,250,625/10,365,919
  6. Step 6: Final answer
    x = 49,076,873.67

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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.