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Finding the Third Proportional to 8,414,516 and 18,430,736

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Solution

The third proportional to 8,414,516 and 18,430,736 is: 40,369,764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414,516 : 18,430,736 = 18,430,736 : x
  2. Step 2: Convert to fraction form
    8,414,516/18,430,736 = 18,430,736/x
  3. Step 3: Cross multiply
    8,414,516x = 18,430,736 × 18,430,736
  4. Step 4: Simplify right side
    8,414,516x = 339,692,029,501,696
  5. Step 5: Solve for x
    x = 339,692,029,501,696/8,414,516
  6. Step 6: Final answer
    x = 40,369,764.52

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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.