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Finding the Third Proportional to 21,811,901 and 47,258,907

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Solution

The third proportional to 21,811,901 and 47,258,907 is: 102,393,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811,901 : 47,258,907 = 47,258,907 : x
  2. Step 2: Convert to fraction form
    21,811,901/47,258,907 = 47,258,907/x
  3. Step 3: Cross multiply
    21,811,901x = 47,258,907 × 47,258,907
  4. Step 4: Simplify right side
    21,811,901x = 2,233,404,290,834,649
  5. Step 5: Solve for x
    x = 2,233,404,290,834,649/21,811,901
  6. Step 6: Final answer
    x = 102,393,839.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.