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Finding the Third Proportional to 1,512,515,456 and 3,283,168,192

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Solution

The third proportional to 1,512,515,456 and 3,283,168,192 is: 7,126,666,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512,515,456 : 3,283,168,192 = 3,283,168,192 : x
  2. Step 2: Convert to fraction form
    1,512,515,456/3,283,168,192 = 3,283,168,192/x
  3. Step 3: Cross multiply
    1,512,515,456x = 3,283,168,192 × 3,283,168,192
  4. Step 4: Simplify right side
    1,512,515,456x = 10,779,193,376,960,548,864
  5. Step 5: Solve for x
    x = 10,779,193,376,960,548,864/1,512,515,456
  6. Step 6: Final answer
    x = 7,126,666,596.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.