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Finding the Third Proportional to 2,141,033.34 and 4,707,909

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Solution

The third proportional to 2,141,033.34 and 4,707,909 is: 10,352,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,033.34 : 4,707,909 = 4,707,909 : x
  2. Step 2: Convert to fraction form
    2,141,033.34/4,707,909 = 4,707,909/x
  3. Step 3: Cross multiply
    2,141,033.34x = 4,707,909 × 4,707,909
  4. Step 4: Simplify right side
    2,141,033.34x = 22,164,407,152,281
  5. Step 5: Solve for x
    x = 22,164,407,152,281/2,141,033.34
  6. Step 6: Final answer
    x = 10,352,200.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.