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Finding the Third Proportional to 2,999,340 and 6,477,768

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Solution

The third proportional to 2,999,340 and 6,477,768 is: 13,990,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999,340 : 6,477,768 = 6,477,768 : x
  2. Step 2: Convert to fraction form
    2,999,340/6,477,768 = 6,477,768/x
  3. Step 3: Cross multiply
    2,999,340x = 6,477,768 × 6,477,768
  4. Step 4: Simplify right side
    2,999,340x = 41,961,478,261,824
  5. Step 5: Solve for x
    x = 41,961,478,261,824/2,999,340
  6. Step 6: Final answer
    x = 13,990,237.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.