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Finding the Third Proportional to 3,029,422.50 and 6,484,372.50

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Solution

The third proportional to 3,029,422.50 and 6,484,372.50 is: 13,879,571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,422.50 : 6,484,372.50 = 6,484,372.50 : x
  2. Step 2: Convert to fraction form
    3,029,422.50/6,484,372.50 = 6,484,372.50/x
  3. Step 3: Cross multiply
    3,029,422.50x = 6,484,372.50 × 6,484,372.50
  4. Step 4: Simplify right side
    3,029,422.50x = 42,047,086,718,756.25
  5. Step 5: Solve for x
    x = 42,047,086,718,756.25/3,029,422.50
  6. Step 6: Final answer
    x = 13,879,571.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.