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Finding the Third Proportional to 14,582,469 and 31,909,794

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Solution

The third proportional to 14,582,469 and 31,909,794 is: 69,825,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582,469 : 31,909,794 = 31,909,794 : x
  2. Step 2: Convert to fraction form
    14,582,469/31,909,794 = 31,909,794/x
  3. Step 3: Cross multiply
    14,582,469x = 31,909,794 × 31,909,794
  4. Step 4: Simplify right side
    14,582,469x = 1,018,234,953,122,436
  5. Step 5: Solve for x
    x = 1,018,234,953,122,436/14,582,469
  6. Step 6: Final answer
    x = 69,825,963.84

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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.