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Finding the Third Proportional to 10,427,258 and 21,807,916

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Solution

The third proportional to 10,427,258 and 21,807,916 is: 45,609,804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427,258 : 21,807,916 = 21,807,916 : x
  2. Step 2: Convert to fraction form
    10,427,258/21,807,916 = 21,807,916/x
  3. Step 3: Cross multiply
    10,427,258x = 21,807,916 × 21,807,916
  4. Step 4: Simplify right side
    10,427,258x = 475,585,200,263,056
  5. Step 5: Solve for x
    x = 475,585,200,263,056/10,427,258
  6. Step 6: Final answer
    x = 45,609,804.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.