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Finding the Third Proportional to 10,005,741 and 21,841,231.50

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Solution

The third proportional to 10,005,741 and 21,841,231.50 is: 47,676,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005,741 : 21,841,231.50 = 21,841,231.50 : x
  2. Step 2: Convert to fraction form
    10,005,741/21,841,231.50 = 21,841,231.50/x
  3. Step 3: Cross multiply
    10,005,741x = 21,841,231.50 × 21,841,231.50
  4. Step 4: Simplify right side
    10,005,741x = 477,039,393,436,592.25
  5. Step 5: Solve for x
    x = 477,039,393,436,592.25/10,005,741
  6. Step 6: Final answer
    x = 47,676,568.23

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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.