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Finding the Third Proportional to 359,558,525,703 and 782,413,836,048

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Solution

The third proportional to 359,558,525,703 and 782,413,836,048 is: 1,702,564,025,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,558,525,703 : 782,413,836,048 = 782,413,836,048 : x
  2. Step 2: Convert to fraction form
    359,558,525,703/782,413,836,048 = 782,413,836,048/x
  3. Step 3: Cross multiply
    359,558,525,703x = 782,413,836,048 × 782,413,836,048
  4. Step 4: Simplify right side
    359,558,525,703x = 612,171,410,839,346,597,593,088
  5. Step 5: Solve for x
    x = 612,171,410,839,346,597,593,088/359,558,525,703
  6. Step 6: Final answer
    x = 1,702,564,025,265.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.