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Finding the Third Proportional to 803,431,765.69 and 1,740,937,976.44

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Solution

The third proportional to 803,431,765.69 and 1,740,937,976.44 is: 3,772,398,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,431,765.69 : 1,740,937,976.44 = 1,740,937,976.44 : x
  2. Step 2: Convert to fraction form
    803,431,765.69/1,740,937,976.44 = 1,740,937,976.44/x
  3. Step 3: Cross multiply
    803,431,765.69x = 1,740,937,976.44 × 1,740,937,976.44
  4. Step 4: Simplify right side
    803,431,765.69x = 3,030,865,037,802,297,344
  5. Step 5: Solve for x
    x = 3,030,865,037,802,297,344/803,431,765.69
  6. Step 6: Final answer
    x = 3,772,398,811.25

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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.