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Finding the Third Proportional to 480,629,416.50 and 986,738,476.50

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Solution

The third proportional to 480,629,416.50 and 986,738,476.50 is: 2,025,786,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,629,416.50 : 986,738,476.50 = 986,738,476.50 : x
  2. Step 2: Convert to fraction form
    480,629,416.50/986,738,476.50 = 986,738,476.50/x
  3. Step 3: Cross multiply
    480,629,416.50x = 986,738,476.50 × 986,738,476.50
  4. Step 4: Simplify right side
    480,629,416.50x = 973,652,821,005,540,992
  5. Step 5: Solve for x
    x = 973,652,821,005,540,992/480,629,416.50
  6. Step 6: Final answer
    x = 2,025,786,994.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.