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Finding the Third Proportional to 636,496,736 and 1,370,932,192

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Solution

The third proportional to 636,496,736 and 1,370,932,192 is: 2,952,811,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,496,736 : 1,370,932,192 = 1,370,932,192 : x
  2. Step 2: Convert to fraction form
    636,496,736/1,370,932,192 = 1,370,932,192/x
  3. Step 3: Cross multiply
    636,496,736x = 1,370,932,192 × 1,370,932,192
  4. Step 4: Simplify right side
    636,496,736x = 1,879,455,075,061,924,864
  5. Step 5: Solve for x
    x = 1,879,455,075,061,924,864/636,496,736
  6. Step 6: Final answer
    x = 2,952,811,803.68

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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.