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Finding the Third Proportional to 13,647,407,480 and 20,967,733,236

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Solution

The third proportional to 13,647,407,480 and 20,967,733,236 is: 32,214,604,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647,407,480 : 20,967,733,236 = 20,967,733,236 : x
  2. Step 2: Convert to fraction form
    13,647,407,480/20,967,733,236 = 20,967,733,236/x
  3. Step 3: Cross multiply
    13,647,407,480x = 20,967,733,236 × 20,967,733,236
  4. Step 4: Simplify right side
    13,647,407,480x = 439,645,837,056,059,047,936
  5. Step 5: Solve for x
    x = 439,645,837,056,059,047,936/13,647,407,480
  6. Step 6: Final answer
    x = 32,214,604,693.26

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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.