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Finding the Third Proportional to 5,128,064 and 11,208,684

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Solution

The third proportional to 5,128,064 and 11,208,684 is: 24,499,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128,064 : 11,208,684 = 11,208,684 : x
  2. Step 2: Convert to fraction form
    5,128,064/11,208,684 = 11,208,684/x
  3. Step 3: Cross multiply
    5,128,064x = 11,208,684 × 11,208,684
  4. Step 4: Simplify right side
    5,128,064x = 125,634,597,011,856
  5. Step 5: Solve for x
    x = 125,634,597,011,856/5,128,064
  6. Step 6: Final answer
    x = 24,499,420.64

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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.