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Finding the Third Proportional to 10,938,206 and 23,844,604

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Solution

The third proportional to 10,938,206 and 23,844,604 is: 51,979,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938,206 : 23,844,604 = 23,844,604 : x
  2. Step 2: Convert to fraction form
    10,938,206/23,844,604 = 23,844,604/x
  3. Step 3: Cross multiply
    10,938,206x = 23,844,604 × 23,844,604
  4. Step 4: Simplify right side
    10,938,206x = 568,565,139,916,816
  5. Step 5: Solve for x
    x = 568,565,139,916,816/10,938,206
  6. Step 6: Final answer
    x = 51,979,743.29

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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.