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Finding the Third Proportional to 8,263,946 and 17,855,766

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Solution

The third proportional to 8,263,946 and 17,855,766 is: 38,580,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263,946 : 17,855,766 = 17,855,766 : x
  2. Step 2: Convert to fraction form
    8,263,946/17,855,766 = 17,855,766/x
  3. Step 3: Cross multiply
    8,263,946x = 17,855,766 × 17,855,766
  4. Step 4: Simplify right side
    8,263,946x = 318,828,379,446,756
  5. Step 5: Solve for x
    x = 318,828,379,446,756/8,263,946
  6. Step 6: Final answer
    x = 38,580,646.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.