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Finding the Third Proportional to 290,286,767,294 and 403,620,546,713

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Solution

The third proportional to 290,286,767,294 and 403,620,546,713 is: 561,202,107,996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,286,767,294 : 403,620,546,713 = 403,620,546,713 : x
  2. Step 2: Convert to fraction form
    290,286,767,294/403,620,546,713 = 403,620,546,713/x
  3. Step 3: Cross multiply
    290,286,767,294x = 403,620,546,713 × 403,620,546,713
  4. Step 4: Simplify right side
    290,286,767,294x = 162,909,545,728,901,015,142,400
  5. Step 5: Solve for x
    x = 162,909,545,728,901,015,142,400/290,286,767,294
  6. Step 6: Final answer
    x = 561,202,107,996.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.