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Finding the Third Proportional to 12,265,014 and 16,664,148

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Solution

The third proportional to 12,265,014 and 16,664,148 is: 22,641,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265,014 : 16,664,148 = 16,664,148 : x
  2. Step 2: Convert to fraction form
    12,265,014/16,664,148 = 16,664,148/x
  3. Step 3: Cross multiply
    12,265,014x = 16,664,148 × 16,664,148
  4. Step 4: Simplify right side
    12,265,014x = 277,693,828,565,904
  5. Step 5: Solve for x
    x = 277,693,828,565,904/12,265,014
  6. Step 6: Final answer
    x = 22,641,134.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.