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Finding the Third Proportional to 6,338,042 and 13,837,515

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Solution

The third proportional to 6,338,042 and 13,837,515 is: 30,210,721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338,042 : 13,837,515 = 13,837,515 : x
  2. Step 2: Convert to fraction form
    6,338,042/13,837,515 = 13,837,515/x
  3. Step 3: Cross multiply
    6,338,042x = 13,837,515 × 13,837,515
  4. Step 4: Simplify right side
    6,338,042x = 191,476,821,375,225
  5. Step 5: Solve for x
    x = 191,476,821,375,225/6,338,042
  6. Step 6: Final answer
    x = 30,210,721.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.