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Finding the Third Proportional to 3,546,824 and 7,376,712

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Solution

The third proportional to 3,546,824 and 7,376,712 is: 15,342,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546,824 : 7,376,712 = 7,376,712 : x
  2. Step 2: Convert to fraction form
    3,546,824/7,376,712 = 7,376,712/x
  3. Step 3: Cross multiply
    3,546,824x = 7,376,712 × 7,376,712
  4. Step 4: Simplify right side
    3,546,824x = 54,415,879,930,944
  5. Step 5: Solve for x
    x = 54,415,879,930,944/3,546,824
  6. Step 6: Final answer
    x = 15,342,142.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.