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Finding the Third Proportional to 2,630,515,104.75 and 5,724,106,825.50

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Solution

The third proportional to 2,630,515,104.75 and 5,724,106,825.50 is: 12,455,887,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630,515,104.75 : 5,724,106,825.50 = 5,724,106,825.50 : x
  2. Step 2: Convert to fraction form
    2,630,515,104.75/5,724,106,825.50 = 5,724,106,825.50/x
  3. Step 3: Cross multiply
    2,630,515,104.75x = 5,724,106,825.50 × 5,724,106,825.50
  4. Step 4: Simplify right side
    2,630,515,104.75x = 32,765,398,949,735,686,144
  5. Step 5: Solve for x
    x = 32,765,398,949,735,686,144/2,630,515,104.75
  6. Step 6: Final answer
    x = 12,455,887,020.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.