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Finding the Third Proportional to 4,651,433,892 and 7,149,581,253

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Solution

The third proportional to 4,651,433,892 and 7,149,581,253 is: 10,989,409,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651,433,892 : 7,149,581,253 = 7,149,581,253 : x
  2. Step 2: Convert to fraction form
    4,651,433,892/7,149,581,253 = 7,149,581,253/x
  3. Step 3: Cross multiply
    4,651,433,892x = 7,149,581,253 × 7,149,581,253
  4. Step 4: Simplify right side
    4,651,433,892x = 51,116,512,093,249,052,672
  5. Step 5: Solve for x
    x = 51,116,512,093,249,052,672/4,651,433,892
  6. Step 6: Final answer
    x = 10,989,409,562.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.