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Finding the Third Proportional to 3,946,920 and 8,631,984

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Solution

The third proportional to 3,946,920 and 8,631,984 is: 18,878,302.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946,920 : 8,631,984 = 8,631,984 : x
  2. Step 2: Convert to fraction form
    3,946,920/8,631,984 = 8,631,984/x
  3. Step 3: Cross multiply
    3,946,920x = 8,631,984 × 8,631,984
  4. Step 4: Simplify right side
    3,946,920x = 74,511,147,776,256
  5. Step 5: Solve for x
    x = 74,511,147,776,256/3,946,920
  6. Step 6: Final answer
    x = 18,878,302.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.