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Finding the Third Proportional to 6,443,224 and 13,894,716

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Solution

The third proportional to 6,443,224 and 13,894,716 is: 29,963,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443,224 : 13,894,716 = 13,894,716 : x
  2. Step 2: Convert to fraction form
    6,443,224/13,894,716 = 13,894,716/x
  3. Step 3: Cross multiply
    6,443,224x = 13,894,716 × 13,894,716
  4. Step 4: Simplify right side
    6,443,224x = 193,063,132,720,656
  5. Step 5: Solve for x
    x = 193,063,132,720,656/6,443,224
  6. Step 6: Final answer
    x = 29,963,746.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.