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Finding the Third Proportional to 1,740,879,513 and 3,823,759,399.50

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Solution

The third proportional to 1,740,879,513 and 3,823,759,399.50 is: 8,398,706,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740,879,513 : 3,823,759,399.50 = 3,823,759,399.50 : x
  2. Step 2: Convert to fraction form
    1,740,879,513/3,823,759,399.50 = 3,823,759,399.50/x
  3. Step 3: Cross multiply
    1,740,879,513x = 3,823,759,399.50 × 3,823,759,399.50
  4. Step 4: Simplify right side
    1,740,879,513x = 14,621,135,945,264,601,088
  5. Step 5: Solve for x
    x = 14,621,135,945,264,601,088/1,740,879,513
  6. Step 6: Final answer
    x = 8,398,706,421.71

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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.