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Finding the Third Proportional to 802,490,196 and 1,627,544,589

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Solution

The third proportional to 802,490,196 and 1,627,544,589 is: 3,300,852,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,490,196 : 1,627,544,589 = 1,627,544,589 : x
  2. Step 2: Convert to fraction form
    802,490,196/1,627,544,589 = 1,627,544,589/x
  3. Step 3: Cross multiply
    802,490,196x = 1,627,544,589 × 1,627,544,589
  4. Step 4: Simplify right side
    802,490,196x = 2,648,901,389,183,178,752
  5. Step 5: Solve for x
    x = 2,648,901,389,183,178,752/802,490,196
  6. Step 6: Final answer
    x = 3,300,852,025.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.