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Finding the Third Proportional to 13,462,328 and 20,884,912

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Solution

The third proportional to 13,462,328 and 20,884,912 is: 32,400,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462,328 : 20,884,912 = 20,884,912 : x
  2. Step 2: Convert to fraction form
    13,462,328/20,884,912 = 20,884,912/x
  3. Step 3: Cross multiply
    13,462,328x = 20,884,912 × 20,884,912
  4. Step 4: Simplify right side
    13,462,328x = 436,179,549,247,744
  5. Step 5: Solve for x
    x = 436,179,549,247,744/13,462,328
  6. Step 6: Final answer
    x = 32,400,009.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.