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Finding the Third Proportional to 852,962,986.50 and 1,310,483,357.25

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Solution

The third proportional to 852,962,986.50 and 1,310,483,357.25 is: 2,013,412,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,962,986.50 : 1,310,483,357.25 = 1,310,483,357.25 : x
  2. Step 2: Convert to fraction form
    852,962,986.50/1,310,483,357.25 = 1,310,483,357.25/x
  3. Step 3: Cross multiply
    852,962,986.50x = 1,310,483,357.25 × 1,310,483,357.25
  4. Step 4: Simplify right side
    852,962,986.50x = 1,717,366,629,629,231,104
  5. Step 5: Solve for x
    x = 1,717,366,629,629,231,104/852,962,986.50
  6. Step 6: Final answer
    x = 2,013,412,840.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.