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Finding the Third Proportional to 5,335,454 and 11,707,897

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Solution

The third proportional to 5,335,454 and 11,707,897 is: 25,691,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335,454 : 11,707,897 = 11,707,897 : x
  2. Step 2: Convert to fraction form
    5,335,454/11,707,897 = 11,707,897/x
  3. Step 3: Cross multiply
    5,335,454x = 11,707,897 × 11,707,897
  4. Step 4: Simplify right side
    5,335,454x = 137,074,852,162,609
  5. Step 5: Solve for x
    x = 137,074,852,162,609/5,335,454
  6. Step 6: Final answer
    x = 25,691,319.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.