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Finding the Third Proportional to 2,534,209 and 5,514,565

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Solution

The third proportional to 2,534,209 and 5,514,565 is: 11,999,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534,209 : 5,514,565 = 5,514,565 : x
  2. Step 2: Convert to fraction form
    2,534,209/5,514,565 = 5,514,565/x
  3. Step 3: Cross multiply
    2,534,209x = 5,514,565 × 5,514,565
  4. Step 4: Simplify right side
    2,534,209x = 30,410,427,139,225
  5. Step 5: Solve for x
    x = 30,410,427,139,225/2,534,209
  6. Step 6: Final answer
    x = 11,999,968.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.