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Finding the Third Proportional to 21,202,867 and 46,160,232

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Solution

The third proportional to 21,202,867 and 46,160,232 is: 100,494,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202,867 : 46,160,232 = 46,160,232 : x
  2. Step 2: Convert to fraction form
    21,202,867/46,160,232 = 46,160,232/x
  3. Step 3: Cross multiply
    21,202,867x = 46,160,232 × 46,160,232
  4. Step 4: Simplify right side
    21,202,867x = 2,130,767,018,293,824
  5. Step 5: Solve for x
    x = 2,130,767,018,293,824/21,202,867
  6. Step 6: Final answer
    x = 100,494,287.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.