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Finding the Third Proportional to 2,111,053.01 and 4,601,003.77

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Solution

The third proportional to 2,111,053.01 and 4,601,003.77 is: 10,027,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111,053.01 : 4,601,003.77 = 4,601,003.77 : x
  2. Step 2: Convert to fraction form
    2,111,053.01/4,601,003.77 = 4,601,003.77/x
  3. Step 3: Cross multiply
    2,111,053.01x = 4,601,003.77 × 4,601,003.77
  4. Step 4: Simplify right side
    2,111,053.01x = 21,169,235,651,295.43
  5. Step 5: Solve for x
    x = 21,169,235,651,295.43/2,111,053.01
  6. Step 6: Final answer
    x = 10,027,808.67

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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.