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Finding the Third Proportional to 4,227,520.50 and 9,263,012.50

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Solution

The third proportional to 4,227,520.50 and 9,263,012.50 is: 20,296,389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227,520.50 : 9,263,012.50 = 9,263,012.50 : x
  2. Step 2: Convert to fraction form
    4,227,520.50/9,263,012.50 = 9,263,012.50/x
  3. Step 3: Cross multiply
    4,227,520.50x = 9,263,012.50 × 9,263,012.50
  4. Step 4: Simplify right side
    4,227,520.50x = 85,803,400,575,156.25
  5. Step 5: Solve for x
    x = 85,803,400,575,156.25/4,227,520.50
  6. Step 6: Final answer
    x = 20,296,389.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.