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Finding the Third Proportional to 6,638,212 and 14,561,544

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Solution

The third proportional to 6,638,212 and 14,561,544 is: 31,942,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638,212 : 14,561,544 = 14,561,544 : x
  2. Step 2: Convert to fraction form
    6,638,212/14,561,544 = 14,561,544/x
  3. Step 3: Cross multiply
    6,638,212x = 14,561,544 × 14,561,544
  4. Step 4: Simplify right side
    6,638,212x = 212,038,563,663,936
  5. Step 5: Solve for x
    x = 212,038,563,663,936/6,638,212
  6. Step 6: Final answer
    x = 31,942,119.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.