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Finding the Third Proportional to 5,577,984 and 11,782,656

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Solution

The third proportional to 5,577,984 and 11,782,656 is: 24,889,096.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577,984 : 11,782,656 = 11,782,656 : x
  2. Step 2: Convert to fraction form
    5,577,984/11,782,656 = 11,782,656/x
  3. Step 3: Cross multiply
    5,577,984x = 11,782,656 × 11,782,656
  4. Step 4: Simplify right side
    5,577,984x = 138,830,982,414,336
  5. Step 5: Solve for x
    x = 138,830,982,414,336/5,577,984
  6. Step 6: Final answer
    x = 24,889,096.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.