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Finding the Third Proportional to 5,458,630,271 and 7,800,524,896

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Solution

The third proportional to 5,458,630,271 and 7,800,524,896 is: 11,147,153,339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458,630,271 : 7,800,524,896 = 7,800,524,896 : x
  2. Step 2: Convert to fraction form
    5,458,630,271/7,800,524,896 = 7,800,524,896/x
  3. Step 3: Cross multiply
    5,458,630,271x = 7,800,524,896 × 7,800,524,896
  4. Step 4: Simplify right side
    5,458,630,271x = 60,848,188,653,115,809,792
  5. Step 5: Solve for x
    x = 60,848,188,653,115,809,792/5,458,630,271
  6. Step 6: Final answer
    x = 11,147,153,339.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.