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Finding the Third Proportional to 13,954,237,029 and 21,448,624,783.50

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Solution

The third proportional to 13,954,237,029 and 21,448,624,783.50 is: 32,968,015,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954,237,029 : 21,448,624,783.50 = 21,448,624,783.50 : x
  2. Step 2: Convert to fraction form
    13,954,237,029/21,448,624,783.50 = 21,448,624,783.50/x
  3. Step 3: Cross multiply
    13,954,237,029x = 21,448,624,783.50 × 21,448,624,783.50
  4. Step 4: Simplify right side
    13,954,237,029x = 460,043,505,103,370,452,992
  5. Step 5: Solve for x
    x = 460,043,505,103,370,452,992/13,954,237,029
  6. Step 6: Final answer
    x = 32,968,015,674.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.