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Finding the Third Proportional to 3,084,813 and 6,684,458.63

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Solution

The third proportional to 3,084,813 and 6,684,458.63 is: 14,484,504.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,813 : 6,684,458.63 = 6,684,458.63 : x
  2. Step 2: Convert to fraction form
    3,084,813/6,684,458.63 = 6,684,458.63/x
  3. Step 3: Cross multiply
    3,084,813x = 6,684,458.63 × 6,684,458.63
  4. Step 4: Simplify right side
    3,084,813x = 44,681,987,109,336.89
  5. Step 5: Solve for x
    x = 44,681,987,109,336.89/3,084,813
  6. Step 6: Final answer
    x = 14,484,504.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.