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Finding the Third Proportional to 9,515,893 and 13,565,251

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Solution

The third proportional to 9,515,893 and 13,565,251 is: 19,337,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515,893 : 13,565,251 = 13,565,251 : x
  2. Step 2: Convert to fraction form
    9,515,893/13,565,251 = 13,565,251/x
  3. Step 3: Cross multiply
    9,515,893x = 13,565,251 × 13,565,251
  4. Step 4: Simplify right side
    9,515,893x = 184,016,034,693,001
  5. Step 5: Solve for x
    x = 184,016,034,693,001/9,515,893
  6. Step 6: Final answer
    x = 19,337,757.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.