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Finding the Third Proportional to 6,173,960 and 13,233,904

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Solution

The third proportional to 6,173,960 and 13,233,904 is: 28,366,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173,960 : 13,233,904 = 13,233,904 : x
  2. Step 2: Convert to fraction form
    6,173,960/13,233,904 = 13,233,904/x
  3. Step 3: Cross multiply
    6,173,960x = 13,233,904 × 13,233,904
  4. Step 4: Simplify right side
    6,173,960x = 175,136,215,081,216
  5. Step 5: Solve for x
    x = 175,136,215,081,216/6,173,960
  6. Step 6: Final answer
    x = 28,366,917.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.