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Finding the Third Proportional to 799,244,490,830 and 1,725,874,692,200

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Solution

The third proportional to 799,244,490,830 and 1,725,874,692,200 is: 3,726,823,878,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,244,490,830 : 1,725,874,692,200 = 1,725,874,692,200 : x
  2. Step 2: Convert to fraction form
    799,244,490,830/1,725,874,692,200 = 1,725,874,692,200/x
  3. Step 3: Cross multiply
    799,244,490,830x = 1,725,874,692,200 × 1,725,874,692,200
  4. Step 4: Simplify right side
    799,244,490,830x = 2,978,643,453,176,444,694,298,624
  5. Step 5: Solve for x
    x = 2,978,643,453,176,444,694,298,624/799,244,490,830
  6. Step 6: Final answer
    x = 3,726,823,878,489.52

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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.