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Finding the Third Proportional to 10,365,909 and 22,554,956

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Solution

The third proportional to 10,365,909 and 22,554,956 is: 49,076,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365,909 : 22,554,956 = 22,554,956 : x
  2. Step 2: Convert to fraction form
    10,365,909/22,554,956 = 22,554,956/x
  3. Step 3: Cross multiply
    10,365,909x = 22,554,956 × 22,554,956
  4. Step 4: Simplify right side
    10,365,909x = 508,726,040,161,936
  5. Step 5: Solve for x
    x = 508,726,040,161,936/10,365,909
  6. Step 6: Final answer
    x = 49,076,838.33

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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.