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Finding the Third Proportional to 20,827,300.50 and 31,221,024

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Solution

The third proportional to 20,827,300.50 and 31,221,024 is: 46,801,664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827,300.50 : 31,221,024 = 31,221,024 : x
  2. Step 2: Convert to fraction form
    20,827,300.50/31,221,024 = 31,221,024/x
  3. Step 3: Cross multiply
    20,827,300.50x = 31,221,024 × 31,221,024
  4. Step 4: Simplify right side
    20,827,300.50x = 974,752,339,608,576
  5. Step 5: Solve for x
    x = 974,752,339,608,576/20,827,300.50
  6. Step 6: Final answer
    x = 46,801,664.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.