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Finding the Third Proportional to 799,244,490,828 and 1,725,874,692,196

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Solution

The third proportional to 799,244,490,828 and 1,725,874,692,196 is: 3,726,823,878,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,244,490,828 : 1,725,874,692,196 = 1,725,874,692,196 : x
  2. Step 2: Convert to fraction form
    799,244,490,828/1,725,874,692,196 = 1,725,874,692,196/x
  3. Step 3: Cross multiply
    799,244,490,828x = 1,725,874,692,196 × 1,725,874,692,196
  4. Step 4: Simplify right side
    799,244,490,828x = 2,978,643,453,162,637,985,054,720
  5. Step 5: Solve for x
    x = 2,978,643,453,162,637,985,054,720/799,244,490,828
  6. Step 6: Final answer
    x = 3,726,823,878,481.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.