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Finding the Third Proportional to 7,237,806 and 11,026,514

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Solution

The third proportional to 7,237,806 and 11,026,514 is: 16,798,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237,806 : 11,026,514 = 11,026,514 : x
  2. Step 2: Convert to fraction form
    7,237,806/11,026,514 = 11,026,514/x
  3. Step 3: Cross multiply
    7,237,806x = 11,026,514 × 11,026,514
  4. Step 4: Simplify right side
    7,237,806x = 121,584,010,992,196
  5. Step 5: Solve for x
    x = 121,584,010,992,196/7,237,806
  6. Step 6: Final answer
    x = 16,798,462.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.