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Finding the Third Proportional to 5,242,800.94 and 7,083,351.28

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Solution

The third proportional to 5,242,800.94 and 7,083,351.28 is: 9,570,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242,800.94 : 7,083,351.28 = 7,083,351.28 : x
  2. Step 2: Convert to fraction form
    5,242,800.94/7,083,351.28 = 7,083,351.28/x
  3. Step 3: Cross multiply
    5,242,800.94x = 7,083,351.28 × 7,083,351.28
  4. Step 4: Simplify right side
    5,242,800.94x = 50,173,865,373,586.02
  5. Step 5: Solve for x
    x = 50,173,865,373,586.02/5,242,800.94
  6. Step 6: Final answer
    x = 9,570,049.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.