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Finding the Third Proportional to 2,370,386 and 5,213,380

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Solution

The third proportional to 2,370,386 and 5,213,380 is: 11,466,204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370,386 : 5,213,380 = 5,213,380 : x
  2. Step 2: Convert to fraction form
    2,370,386/5,213,380 = 5,213,380/x
  3. Step 3: Cross multiply
    2,370,386x = 5,213,380 × 5,213,380
  4. Step 4: Simplify right side
    2,370,386x = 27,179,331,024,400
  5. Step 5: Solve for x
    x = 27,179,331,024,400/2,370,386
  6. Step 6: Final answer
    x = 11,466,204.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.