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Finding the Third Proportional to 21,811,905 and 47,258,914.50

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Solution

The third proportional to 21,811,905 and 47,258,914.50 is: 102,393,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811,905 : 47,258,914.50 = 47,258,914.50 : x
  2. Step 2: Convert to fraction form
    21,811,905/47,258,914.50 = 47,258,914.50/x
  3. Step 3: Cross multiply
    21,811,905x = 47,258,914.50 × 47,258,914.50
  4. Step 4: Simplify right side
    21,811,905x = 2,233,404,999,718,310.25
  5. Step 5: Solve for x
    x = 2,233,404,999,718,310.25/21,811,905
  6. Step 6: Final answer
    x = 102,393,853.25

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