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Finding the Third Proportional to 284,438,550,079 and 410,964,585,765

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Solution

The third proportional to 284,438,550,079 and 410,964,585,765 is: 593,772,857,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,438,550,079 : 410,964,585,765 = 410,964,585,765 : x
  2. Step 2: Convert to fraction form
    284,438,550,079/410,964,585,765 = 410,964,585,765/x
  3. Step 3: Cross multiply
    284,438,550,079x = 410,964,585,765 × 410,964,585,765
  4. Step 4: Simplify right side
    284,438,550,079x = 168,891,890,752,998,025,986,048
  5. Step 5: Solve for x
    x = 168,891,890,752,998,025,986,048/284,438,550,079
  6. Step 6: Final answer
    x = 593,772,857,814.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.