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Finding the Third Proportional to 6,301,855 and 13,744,382

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Solution

The third proportional to 6,301,855 and 13,744,382 is: 29,976,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301,855 : 13,744,382 = 13,744,382 : x
  2. Step 2: Convert to fraction form
    6,301,855/13,744,382 = 13,744,382/x
  3. Step 3: Cross multiply
    6,301,855x = 13,744,382 × 13,744,382
  4. Step 4: Simplify right side
    6,301,855x = 188,908,036,561,924
  5. Step 5: Solve for x
    x = 188,908,036,561,924/6,301,855
  6. Step 6: Final answer
    x = 29,976,576.19

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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.