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Finding the Third Proportional to 6,382,720,699.50 and 13,967,806,062.75

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Solution

The third proportional to 6,382,720,699.50 and 13,967,806,062.75 is: 30,566,840,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382,720,699.50 : 13,967,806,062.75 = 13,967,806,062.75 : x
  2. Step 2: Convert to fraction form
    6,382,720,699.50/13,967,806,062.75 = 13,967,806,062.75/x
  3. Step 3: Cross multiply
    6,382,720,699.50x = 13,967,806,062.75 × 13,967,806,062.75
  4. Step 4: Simplify right side
    6,382,720,699.50x = 195,099,606,206,595,661,824
  5. Step 5: Solve for x
    x = 195,099,606,206,595,661,824/6,382,720,699.50
  6. Step 6: Final answer
    x = 30,566,840,598.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.