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Finding the Third Proportional to 6,635,616 and 14,556,864

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Solution

The third proportional to 6,635,616 and 14,556,864 is: 31,934,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635,616 : 14,556,864 = 14,556,864 : x
  2. Step 2: Convert to fraction form
    6,635,616/14,556,864 = 14,556,864/x
  3. Step 3: Cross multiply
    6,635,616x = 14,556,864 × 14,556,864
  4. Step 4: Simplify right side
    6,635,616x = 211,902,289,514,496
  5. Step 5: Solve for x
    x = 211,902,289,514,496/6,635,616
  6. Step 6: Final answer
    x = 31,934,079.60

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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.