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Finding the Third Proportional to 10,599,884 and 22,878,412

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Solution

The third proportional to 10,599,884 and 22,878,412 is: 49,379,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599,884 : 22,878,412 = 22,878,412 : x
  2. Step 2: Convert to fraction form
    10,599,884/22,878,412 = 22,878,412/x
  3. Step 3: Cross multiply
    10,599,884x = 22,878,412 × 22,878,412
  4. Step 4: Simplify right side
    10,599,884x = 523,421,735,641,744
  5. Step 5: Solve for x
    x = 523,421,735,641,744/10,599,884
  6. Step 6: Final answer
    x = 49,379,949.41

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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.