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Finding the Third Proportional to 3,431,560 and 7,427,984

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Solution

The third proportional to 3,431,560 and 7,427,984 is: 16,078,677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431,560 : 7,427,984 = 7,427,984 : x
  2. Step 2: Convert to fraction form
    3,431,560/7,427,984 = 7,427,984/x
  3. Step 3: Cross multiply
    3,431,560x = 7,427,984 × 7,427,984
  4. Step 4: Simplify right side
    3,431,560x = 55,174,946,304,256
  5. Step 5: Solve for x
    x = 55,174,946,304,256/3,431,560
  6. Step 6: Final answer
    x = 16,078,677.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.