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Finding the Third Proportional to 2,103,085.83 and 4,565,100.23

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Solution

The third proportional to 2,103,085.83 and 4,565,100.23 is: 9,909,315.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103,085.83 : 4,565,100.23 = 4,565,100.23 : x
  2. Step 2: Convert to fraction form
    2,103,085.83/4,565,100.23 = 4,565,100.23/x
  3. Step 3: Cross multiply
    2,103,085.83x = 4,565,100.23 × 4,565,100.23
  4. Step 4: Simplify right side
    2,103,085.83x = 20,840,140,149,890.68
  5. Step 5: Solve for x
    x = 20,840,140,149,890.68/2,103,085.83
  6. Step 6: Final answer
    x = 9,909,315.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.