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Finding the Third Proportional to 268,379,682 and 587,007,768

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Solution

The third proportional to 268,379,682 and 587,007,768 is: 1,283,920,292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,379,682 : 587,007,768 = 587,007,768 : x
  2. Step 2: Convert to fraction form
    268,379,682/587,007,768 = 587,007,768/x
  3. Step 3: Cross multiply
    268,379,682x = 587,007,768 × 587,007,768
  4. Step 4: Simplify right side
    268,379,682x = 344,578,119,692,341,824
  5. Step 5: Solve for x
    x = 344,578,119,692,341,824/268,379,682
  6. Step 6: Final answer
    x = 1,283,920,292.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.