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Finding the Third Proportional to 5,295,685,491,621 and 7,572,839,271,403.50

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Solution

The third proportional to 5,295,685,491,621 and 7,572,839,271,403.50 is: 10,829,173,054,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295,685,491,621 : 7,572,839,271,403.50 = 7,572,839,271,403.50 : x
  2. Step 2: Convert to fraction form
    5,295,685,491,621/7,572,839,271,403.50 = 7,572,839,271,403.50/x
  3. Step 3: Cross multiply
    5,295,685,491,621x = 7,572,839,271,403.50 × 7,572,839,271,403.50
  4. Step 4: Simplify right side
    5,295,685,491,621x = 57,347,894,630,511,093,934,456,832
  5. Step 5: Solve for x
    x = 57,347,894,630,511,093,934,456,832/5,295,685,491,621
  6. Step 6: Final answer
    x = 10,829,173,054,413.59

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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.