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Finding the Third Proportional to 266,385,063,318 and 382,888,837,089

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Solution

The third proportional to 266,385,063,318 and 382,888,837,089 is: 550,345,652,797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,385,063,318 : 382,888,837,089 = 382,888,837,089 : x
  2. Step 2: Convert to fraction form
    266,385,063,318/382,888,837,089 = 382,888,837,089/x
  3. Step 3: Cross multiply
    266,385,063,318x = 382,888,837,089 × 382,888,837,089
  4. Step 4: Simplify right side
    266,385,063,318x = 146,603,861,567,366,783,565,824
  5. Step 5: Solve for x
    x = 146,603,861,567,366,783,565,824/266,385,063,318
  6. Step 6: Final answer
    x = 550,345,652,797.95

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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.