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Finding the Third Proportional to 13,233,564 and 20,239,632

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Solution

The third proportional to 13,233,564 and 20,239,632 is: 30,954,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,233,564 : 20,239,632 = 20,239,632 : x
  2. Step 2: Convert to fraction form
    13,233,564/20,239,632 = 20,239,632/x
  3. Step 3: Cross multiply
    13,233,564x = 20,239,632 × 20,239,632
  4. Step 4: Simplify right side
    13,233,564x = 409,642,703,495,424
  5. Step 5: Solve for x
    x = 409,642,703,495,424/13,233,564
  6. Step 6: Final answer
    x = 30,954,828.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.