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Finding the Third Proportional to 286,313,580 and 454,093,803

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Solution

The third proportional to 286,313,580 and 454,093,803 is: 720,193,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,313,580 : 454,093,803 = 454,093,803 : x
  2. Step 2: Convert to fraction form
    286,313,580/454,093,803 = 454,093,803/x
  3. Step 3: Cross multiply
    286,313,580x = 454,093,803 × 454,093,803
  4. Step 4: Simplify right side
    286,313,580x = 206,201,181,923,002,816
  5. Step 5: Solve for x
    x = 206,201,181,923,002,816/286,313,580
  6. Step 6: Final answer
    x = 720,193,509.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.