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Finding the Third Proportional to 23,436,916 and 51,342,296

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Solution

The third proportional to 23,436,916 and 51,342,296 is: 112,473,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,436,916 : 51,342,296 = 51,342,296 : x
  2. Step 2: Convert to fraction form
    23,436,916/51,342,296 = 51,342,296/x
  3. Step 3: Cross multiply
    23,436,916x = 51,342,296 × 51,342,296
  4. Step 4: Simplify right side
    23,436,916x = 2,636,031,358,551,616
  5. Step 5: Solve for x
    x = 2,636,031,358,551,616/23,436,916
  6. Step 6: Final answer
    x = 112,473,473.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.