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Finding the Third Proportional to 580,293,171 and 1,274,586,466.50

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Solution

The third proportional to 580,293,171 and 1,274,586,466.50 is: 2,799,568,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,293,171 : 1,274,586,466.50 = 1,274,586,466.50 : x
  2. Step 2: Convert to fraction form
    580,293,171/1,274,586,466.50 = 1,274,586,466.50/x
  3. Step 3: Cross multiply
    580,293,171x = 1,274,586,466.50 × 1,274,586,466.50
  4. Step 4: Simplify right side
    580,293,171x = 1,624,570,660,584,955,648
  5. Step 5: Solve for x
    x = 1,624,570,660,584,955,648/580,293,171
  6. Step 6: Final answer
    x = 2,799,568,807.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.