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Finding the Third Proportional to 6,334,661 and 13,830,889

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Solution

The third proportional to 6,334,661 and 13,830,889 is: 30,197,904.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334,661 : 13,830,889 = 13,830,889 : x
  2. Step 2: Convert to fraction form
    6,334,661/13,830,889 = 13,830,889/x
  3. Step 3: Cross multiply
    6,334,661x = 13,830,889 × 13,830,889
  4. Step 4: Simplify right side
    6,334,661x = 191,293,490,530,321
  5. Step 5: Solve for x
    x = 191,293,490,530,321/6,334,661
  6. Step 6: Final answer
    x = 30,197,904.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.