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Finding the Third Proportional to 4,851,160 and 9,844,869

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Solution

The third proportional to 4,851,160 and 9,844,869 is: 19,979,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851,160 : 9,844,869 = 9,844,869 : x
  2. Step 2: Convert to fraction form
    4,851,160/9,844,869 = 9,844,869/x
  3. Step 3: Cross multiply
    4,851,160x = 9,844,869 × 9,844,869
  4. Step 4: Simplify right side
    4,851,160x = 96,921,445,627,161
  5. Step 5: Solve for x
    x = 96,921,445,627,161/4,851,160
  6. Step 6: Final answer
    x = 19,979,024.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.