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Finding the Third Proportional to 5,884,415.16 and 12,697,757.44

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Solution

The third proportional to 5,884,415.16 and 12,697,757.44 is: 27,400,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884,415.16 : 12,697,757.44 = 12,697,757.44 : x
  2. Step 2: Convert to fraction form
    5,884,415.16/12,697,757.44 = 12,697,757.44/x
  3. Step 3: Cross multiply
    5,884,415.16x = 12,697,757.44 × 12,697,757.44
  4. Step 4: Simplify right side
    5,884,415.16x = 161,233,043,941,586.56
  5. Step 5: Solve for x
    x = 161,233,043,941,586.56/5,884,415.16
  6. Step 6: Final answer
    x = 27,400,011.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.