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Finding the Third Proportional to 7,909,456 and 17,338,514

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Solution

The third proportional to 7,909,456 and 17,338,514 is: 38,008,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909,456 : 17,338,514 = 17,338,514 : x
  2. Step 2: Convert to fraction form
    7,909,456/17,338,514 = 17,338,514/x
  3. Step 3: Cross multiply
    7,909,456x = 17,338,514 × 17,338,514
  4. Step 4: Simplify right side
    7,909,456x = 300,624,067,728,196
  5. Step 5: Solve for x
    x = 300,624,067,728,196/7,909,456
  6. Step 6: Final answer
    x = 38,008,185.11

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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.