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Finding the Third Proportional to 333,423,487,454.25 and 449,866,570,590

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Solution

The third proportional to 333,423,487,454.25 and 449,866,570,590 is: 606,975,629,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,423,487,454.25 : 449,866,570,590 = 449,866,570,590 : x
  2. Step 2: Convert to fraction form
    333,423,487,454.25/449,866,570,590 = 449,866,570,590/x
  3. Step 3: Cross multiply
    333,423,487,454.25x = 449,866,570,590 × 449,866,570,590
  4. Step 4: Simplify right side
    333,423,487,454.25x = 202,379,931,334,407,442,399,232
  5. Step 5: Solve for x
    x = 202,379,931,334,407,442,399,232/333,423,487,454.25
  6. Step 6: Final answer
    x = 606,975,629,940.22

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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.