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Finding the Third Proportional to 13,457,706 and 29,186,976

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Solution

The third proportional to 13,457,706 and 29,186,976 is: 63,300,503.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457,706 : 29,186,976 = 29,186,976 : x
  2. Step 2: Convert to fraction form
    13,457,706/29,186,976 = 29,186,976/x
  3. Step 3: Cross multiply
    13,457,706x = 29,186,976 × 29,186,976
  4. Step 4: Simplify right side
    13,457,706x = 851,879,568,024,576
  5. Step 5: Solve for x
    x = 851,879,568,024,576/13,457,706
  6. Step 6: Final answer
    x = 63,300,503.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.