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Finding the Third Proportional to 333,423,587,292.60 and 449,866,699,311.78

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Solution

The third proportional to 333,423,587,292.60 and 449,866,699,311.78 is: 606,975,795,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,423,587,292.60 : 449,866,699,311.78 = 449,866,699,311.78 : x
  2. Step 2: Convert to fraction form
    333,423,587,292.60/449,866,699,311.78 = 449,866,699,311.78/x
  3. Step 3: Cross multiply
    333,423,587,292.60x = 449,866,699,311.78 × 449,866,699,311.78
  4. Step 4: Simplify right side
    333,423,587,292.60x = 202,380,047,149,675,497,652,224
  5. Step 5: Solve for x
    x = 202,380,047,149,675,497,652,224/333,423,587,292.60
  6. Step 6: Final answer
    x = 606,975,795,542.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.