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Finding the Third Proportional to 4,659,258 and 9,966,232

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Solution

The third proportional to 4,659,258 and 9,966,232 is: 21,317,939.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659,258 : 9,966,232 = 9,966,232 : x
  2. Step 2: Convert to fraction form
    4,659,258/9,966,232 = 9,966,232/x
  3. Step 3: Cross multiply
    4,659,258x = 9,966,232 × 9,966,232
  4. Step 4: Simplify right side
    4,659,258x = 99,325,780,277,824
  5. Step 5: Solve for x
    x = 99,325,780,277,824/4,659,258
  6. Step 6: Final answer
    x = 21,317,939.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.