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Finding the Third Proportional to 11,580,203 and 15,438,514

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Solution

The third proportional to 11,580,203 and 15,438,514 is: 20,582,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580,203 : 15,438,514 = 15,438,514 : x
  2. Step 2: Convert to fraction form
    11,580,203/15,438,514 = 15,438,514/x
  3. Step 3: Cross multiply
    11,580,203x = 15,438,514 × 15,438,514
  4. Step 4: Simplify right side
    11,580,203x = 238,347,714,528,196
  5. Step 5: Solve for x
    x = 238,347,714,528,196/11,580,203
  6. Step 6: Final answer
    x = 20,582,343.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.