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Finding the Third Proportional to 9,515,904 and 13,565,268

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Solution

The third proportional to 9,515,904 and 13,565,268 is: 19,337,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515,904 : 13,565,268 = 13,565,268 : x
  2. Step 2: Convert to fraction form
    9,515,904/13,565,268 = 13,565,268/x
  3. Step 3: Cross multiply
    9,515,904x = 13,565,268 × 13,565,268
  4. Step 4: Simplify right side
    9,515,904x = 184,016,495,911,824
  5. Step 5: Solve for x
    x = 184,016,495,911,824/9,515,904
  6. Step 6: Final answer
    x = 19,337,783.98

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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.