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Finding the Third Proportional to 373,186,462 and 809,807,100

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Solution

The third proportional to 373,186,462 and 809,807,100 is: 1,757,265,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,186,462 : 809,807,100 = 809,807,100 : x
  2. Step 2: Convert to fraction form
    373,186,462/809,807,100 = 809,807,100/x
  3. Step 3: Cross multiply
    373,186,462x = 809,807,100 × 809,807,100
  4. Step 4: Simplify right side
    373,186,462x = 655,787,539,210,409,984
  5. Step 5: Solve for x
    x = 655,787,539,210,409,984/373,186,462
  6. Step 6: Final answer
    x = 1,757,265,083.24

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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.