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Finding the Third Proportional to 266,437,372,932 and 581,698,793,916

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Solution

The third proportional to 266,437,372,932 and 581,698,793,916 is: 1,269,992,580,694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,437,372,932 : 581,698,793,916 = 581,698,793,916 : x
  2. Step 2: Convert to fraction form
    266,437,372,932/581,698,793,916 = 581,698,793,916/x
  3. Step 3: Cross multiply
    266,437,372,932x = 581,698,793,916 × 581,698,793,916
  4. Step 4: Simplify right side
    266,437,372,932x = 338,373,486,843,329,029,079,040
  5. Step 5: Solve for x
    x = 338,373,486,843,329,029,079,040/266,437,372,932
  6. Step 6: Final answer
    x = 1,269,992,580,694.33

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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.