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Finding the Third Proportional to 468,259,780,165.50 and 745,093,362,687.75

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Solution

The third proportional to 468,259,780,165.50 and 745,093,362,687.75 is: 1,185,590,013,571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,259,780,165.50 : 745,093,362,687.75 = 745,093,362,687.75 : x
  2. Step 2: Convert to fraction form
    468,259,780,165.50/745,093,362,687.75 = 745,093,362,687.75/x
  3. Step 3: Cross multiply
    468,259,780,165.50x = 745,093,362,687.75 × 745,093,362,687.75
  4. Step 4: Simplify right side
    468,259,780,165.50x = 555,164,119,121,338,979,844,096
  5. Step 5: Solve for x
    x = 555,164,119,121,338,979,844,096/468,259,780,165.50
  6. Step 6: Final answer
    x = 1,185,590,013,571.36

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1.5x scale

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.