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Finding the Third Proportional to 9,783,570.50 and 20,751,036.50

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Solution

The third proportional to 9,783,570.50 and 20,751,036.50 is: 44,013,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783,570.50 : 20,751,036.50 = 20,751,036.50 : x
  2. Step 2: Convert to fraction form
    9,783,570.50/20,751,036.50 = 20,751,036.50/x
  3. Step 3: Cross multiply
    9,783,570.50x = 20,751,036.50 × 20,751,036.50
  4. Step 4: Simplify right side
    9,783,570.50x = 430,605,515,824,332.25
  5. Step 5: Solve for x
    x = 430,605,515,824,332.25/9,783,570.50
  6. Step 6: Final answer
    x = 44,013,125.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.