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Finding the Third Proportional to 29,982,208 and 64,512,368

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Solution

The third proportional to 29,982,208 and 64,512,368 is: 138,810,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982,208 : 64,512,368 = 64,512,368 : x
  2. Step 2: Convert to fraction form
    29,982,208/64,512,368 = 64,512,368/x
  3. Step 3: Cross multiply
    29,982,208x = 64,512,368 × 64,512,368
  4. Step 4: Simplify right side
    29,982,208x = 4,161,845,624,967,424
  5. Step 5: Solve for x
    x = 4,161,845,624,967,424/29,982,208
  6. Step 6: Final answer
    x = 138,810,511.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.