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Finding the Third Proportional to 5,295,685,491,616.50 and 7,572,839,271,396.60

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Solution

The third proportional to 5,295,685,491,616.50 and 7,572,839,271,396.60 is: 10,829,173,054,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295,685,491,616.50 : 7,572,839,271,396.60 = 7,572,839,271,396.60 : x
  2. Step 2: Convert to fraction form
    5,295,685,491,616.50/7,572,839,271,396.60 = 7,572,839,271,396.60/x
  3. Step 3: Cross multiply
    5,295,685,491,616.50x = 7,572,839,271,396.60 × 7,572,839,271,396.60
  4. Step 4: Simplify right side
    5,295,685,491,616.50x = 57,347,894,630,406,580,200,275,968
  5. Step 5: Solve for x
    x = 57,347,894,630,406,580,200,275,968/5,295,685,491,616.50
  6. Step 6: Final answer
    x = 10,829,173,054,403.05

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