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Finding the Third Proportional to 9,515,906 and 13,565,271

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Solution

The third proportional to 9,515,906 and 13,565,271 is: 19,337,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515,906 : 13,565,271 = 13,565,271 : x
  2. Step 2: Convert to fraction form
    9,515,906/13,565,271 = 13,565,271/x
  3. Step 3: Cross multiply
    9,515,906x = 13,565,271 × 13,565,271
  4. Step 4: Simplify right side
    9,515,906x = 184,016,577,303,441
  5. Step 5: Solve for x
    x = 184,016,577,303,441/9,515,906
  6. Step 6: Final answer
    x = 19,337,788.47

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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.