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Finding the Third Proportional to 286,969,900,453 and 616,527,057,911

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Solution

The third proportional to 286,969,900,453 and 616,527,057,911 is: 1,324,548,715,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,969,900,453 : 616,527,057,911 = 616,527,057,911 : x
  2. Step 2: Convert to fraction form
    286,969,900,453/616,527,057,911 = 616,527,057,911/x
  3. Step 3: Cross multiply
    286,969,900,453x = 616,527,057,911 × 616,527,057,911
  4. Step 4: Simplify right side
    286,969,900,453x = 380,105,613,136,393,517,662,208
  5. Step 5: Solve for x
    x = 380,105,613,136,393,517,662,208/286,969,900,453
  6. Step 6: Final answer
    x = 1,324,548,715,863.14

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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.