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Finding the Third Proportional to 8,277,309 and 12,770,356

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Solution

The third proportional to 8,277,309 and 12,770,356 is: 19,702,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277,309 : 12,770,356 = 12,770,356 : x
  2. Step 2: Convert to fraction form
    8,277,309/12,770,356 = 12,770,356/x
  3. Step 3: Cross multiply
    8,277,309x = 12,770,356 × 12,770,356
  4. Step 4: Simplify right side
    8,277,309x = 163,081,992,366,736
  5. Step 5: Solve for x
    x = 163,081,992,366,736/8,277,309
  6. Step 6: Final answer
    x = 19,702,296.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.