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Finding the Third Proportional to 416,016,633,145.70 and 894,642,339,029.45

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Solution

The third proportional to 416,016,633,145.70 and 894,642,339,029.45 is: 1,923,925,273,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,016,633,145.70 : 894,642,339,029.45 = 894,642,339,029.45 : x
  2. Step 2: Convert to fraction form
    416,016,633,145.70/894,642,339,029.45 = 894,642,339,029.45/x
  3. Step 3: Cross multiply
    416,016,633,145.70x = 894,642,339,029.45 × 894,642,339,029.45
  4. Step 4: Simplify right side
    416,016,633,145.70x = 800,384,914,784,085,224,718,336
  5. Step 5: Solve for x
    x = 800,384,914,784,085,224,718,336/416,016,633,145.70
  6. Step 6: Final answer
    x = 1,923,925,273,689.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.