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Finding the Third Proportional to 3,072,735 and 6,616,206

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Solution

The third proportional to 3,072,735 and 6,616,206 is: 14,245,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072,735 : 6,616,206 = 6,616,206 : x
  2. Step 2: Convert to fraction form
    3,072,735/6,616,206 = 6,616,206/x
  3. Step 3: Cross multiply
    3,072,735x = 6,616,206 × 6,616,206
  4. Step 4: Simplify right side
    3,072,735x = 43,774,181,834,436
  5. Step 5: Solve for x
    x = 43,774,181,834,436/3,072,735
  6. Step 6: Final answer
    x = 14,245,999.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.