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Finding the Third Proportional to 3,084,852 and 6,684,536

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Solution

The third proportional to 3,084,852 and 6,684,536 is: 14,484,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,852 : 6,684,536 = 6,684,536 : x
  2. Step 2: Convert to fraction form
    3,084,852/6,684,536 = 6,684,536/x
  3. Step 3: Cross multiply
    3,084,852x = 6,684,536 × 6,684,536
  4. Step 4: Simplify right side
    3,084,852x = 44,683,021,535,296
  5. Step 5: Solve for x
    x = 44,683,021,535,296/3,084,852
  6. Step 6: Final answer
    x = 14,484,656.49

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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.