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Finding the Third Proportional to 13,633,029 and 29,873,367

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Solution

The third proportional to 13,633,029 and 29,873,367 is: 65,459,998.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633,029 : 29,873,367 = 29,873,367 : x
  2. Step 2: Convert to fraction form
    13,633,029/29,873,367 = 29,873,367/x
  3. Step 3: Cross multiply
    13,633,029x = 29,873,367 × 29,873,367
  4. Step 4: Simplify right side
    13,633,029x = 892,418,055,916,689
  5. Step 5: Solve for x
    x = 892,418,055,916,689/13,633,029
  6. Step 6: Final answer
    x = 65,459,998.36

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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.