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Finding the Third Proportional to 6,301,856 and 13,744,384

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Solution

The third proportional to 6,301,856 and 13,744,384 is: 29,976,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301,856 : 13,744,384 = 13,744,384 : x
  2. Step 2: Convert to fraction form
    6,301,856/13,744,384 = 13,744,384/x
  3. Step 3: Cross multiply
    6,301,856x = 13,744,384 × 13,744,384
  4. Step 4: Simplify right side
    6,301,856x = 188,908,091,539,456
  5. Step 5: Solve for x
    x = 188,908,091,539,456/6,301,856
  6. Step 6: Final answer
    x = 29,976,580.16

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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.