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Finding the Third Proportional to 6,384,588 and 13,782,072

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Solution

The third proportional to 6,384,588 and 13,782,072 is: 29,750,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384,588 : 13,782,072 = 13,782,072 : x
  2. Step 2: Convert to fraction form
    6,384,588/13,782,072 = 13,782,072/x
  3. Step 3: Cross multiply
    6,384,588x = 13,782,072 × 13,782,072
  4. Step 4: Simplify right side
    6,384,588x = 189,945,508,613,184
  5. Step 5: Solve for x
    x = 189,945,508,613,184/6,384,588
  6. Step 6: Final answer
    x = 29,750,628.95

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