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Finding the Third Proportional to 4,251,406,083 and 5,984,307,762.75

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Solution

The third proportional to 4,251,406,083 and 5,984,307,762.75 is: 8,423,551,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251,406,083 : 5,984,307,762.75 = 5,984,307,762.75 : x
  2. Step 2: Convert to fraction form
    4,251,406,083/5,984,307,762.75 = 5,984,307,762.75/x
  3. Step 3: Cross multiply
    4,251,406,083x = 5,984,307,762.75 × 5,984,307,762.75
  4. Step 4: Simplify right side
    4,251,406,083x = 35,811,939,399,309,910,016
  5. Step 5: Solve for x
    x = 35,811,939,399,309,910,016/4,251,406,083
  6. Step 6: Final answer
    x = 8,423,551,808.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.