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Finding the Third Proportional to 2,972,464 and 6,328,544

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Solution

The third proportional to 2,972,464 and 6,328,544 is: 13,473,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972,464 : 6,328,544 = 6,328,544 : x
  2. Step 2: Convert to fraction form
    2,972,464/6,328,544 = 6,328,544/x
  3. Step 3: Cross multiply
    2,972,464x = 6,328,544 × 6,328,544
  4. Step 4: Simplify right side
    2,972,464x = 40,050,469,159,936
  5. Step 5: Solve for x
    x = 40,050,469,159,936/2,972,464
  6. Step 6: Final answer
    x = 13,473,828.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.