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Finding the Third Proportional to 6,509,851 and 13,999,546

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Solution

The third proportional to 6,509,851 and 13,999,546 is: 30,106,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509,851 : 13,999,546 = 13,999,546 : x
  2. Step 2: Convert to fraction form
    6,509,851/13,999,546 = 13,999,546/x
  3. Step 3: Cross multiply
    6,509,851x = 13,999,546 × 13,999,546
  4. Step 4: Simplify right side
    6,509,851x = 195,987,288,206,116
  5. Step 5: Solve for x
    x = 195,987,288,206,116/6,509,851
  6. Step 6: Final answer
    x = 30,106,263.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.