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Finding the Third Proportional to 4,493,743 and 9,828,211

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Solution

The third proportional to 4,493,743 and 9,828,211 is: 21,495,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493,743 : 9,828,211 = 9,828,211 : x
  2. Step 2: Convert to fraction form
    4,493,743/9,828,211 = 9,828,211/x
  3. Step 3: Cross multiply
    4,493,743x = 9,828,211 × 9,828,211
  4. Step 4: Simplify right side
    4,493,743x = 96,593,731,460,521
  5. Step 5: Solve for x
    x = 96,593,731,460,521/4,493,743
  6. Step 6: Final answer
    x = 21,495,161.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.