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Finding the Third Proportional to 8,414,500 and 18,430,704

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Solution

The third proportional to 8,414,500 and 18,430,704 is: 40,369,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414,500 : 18,430,704 = 18,430,704 : x
  2. Step 2: Convert to fraction form
    8,414,500/18,430,704 = 18,430,704/x
  3. Step 3: Cross multiply
    8,414,500x = 18,430,704 × 18,430,704
  4. Step 4: Simplify right side
    8,414,500x = 339,690,849,935,616
  5. Step 5: Solve for x
    x = 339,690,849,935,616/8,414,500
  6. Step 6: Final answer
    x = 40,369,701.10

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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.