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Finding the Third Proportional to 24,778,014 and 53,351,796

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Solution

The third proportional to 24,778,014 and 53,351,796 is: 114,876,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,778,014 : 53,351,796 = 53,351,796 : x
  2. Step 2: Convert to fraction form
    24,778,014/53,351,796 = 53,351,796/x
  3. Step 3: Cross multiply
    24,778,014x = 53,351,796 × 53,351,796
  4. Step 4: Simplify right side
    24,778,014x = 2,846,414,136,425,616
  5. Step 5: Solve for x
    x = 2,846,414,136,425,616/24,778,014
  6. Step 6: Final answer
    x = 114,876,605.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.