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Finding the Third Proportional to 10,204,064 and 15,468,054

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Solution

The third proportional to 10,204,064 and 15,468,054 is: 23,447,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204,064 : 15,468,054 = 15,468,054 : x
  2. Step 2: Convert to fraction form
    10,204,064/15,468,054 = 15,468,054/x
  3. Step 3: Cross multiply
    10,204,064x = 15,468,054 × 15,468,054
  4. Step 4: Simplify right side
    10,204,064x = 239,260,694,546,916
  5. Step 5: Solve for x
    x = 239,260,694,546,916/10,204,064
  6. Step 6: Final answer
    x = 23,447,588.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.