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Finding the Third Proportional to 10,201,219.50 and 21,553,763

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Solution

The third proportional to 10,201,219.50 and 21,553,763 is: 45,540,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201,219.50 : 21,553,763 = 21,553,763 : x
  2. Step 2: Convert to fraction form
    10,201,219.50/21,553,763 = 21,553,763/x
  3. Step 3: Cross multiply
    10,201,219.50x = 21,553,763 × 21,553,763
  4. Step 4: Simplify right side
    10,201,219.50x = 464,564,699,460,169
  5. Step 5: Solve for x
    x = 464,564,699,460,169/10,201,219.50
  6. Step 6: Final answer
    x = 45,540,114.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.