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Finding the Third Proportional to 13,906,338.75 and 20,457,492.75

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Solution

The third proportional to 13,906,338.75 and 20,457,492.75 is: 30,094,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906,338.75 : 20,457,492.75 = 20,457,492.75 : x
  2. Step 2: Convert to fraction form
    13,906,338.75/20,457,492.75 = 20,457,492.75/x
  3. Step 3: Cross multiply
    13,906,338.75x = 20,457,492.75 × 20,457,492.75
  4. Step 4: Simplify right side
    13,906,338.75x = 418,509,009,616,302.56
  5. Step 5: Solve for x
    x = 418,509,009,616,302.56/13,906,338.75
  6. Step 6: Final answer
    x = 30,094,837.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.