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Finding the Third Proportional to 6,322,896 and 13,641,120

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Solution

The third proportional to 6,322,896 and 13,641,120 is: 29,429,577.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322,896 : 13,641,120 = 13,641,120 : x
  2. Step 2: Convert to fraction form
    6,322,896/13,641,120 = 13,641,120/x
  3. Step 3: Cross multiply
    6,322,896x = 13,641,120 × 13,641,120
  4. Step 4: Simplify right side
    6,322,896x = 186,080,154,854,400
  5. Step 5: Solve for x
    x = 186,080,154,854,400/6,322,896
  6. Step 6: Final answer
    x = 29,429,577.03

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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.