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Finding the Third Proportional to 417,775,399,650 and 627,105,284,835

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Solution

The third proportional to 417,775,399,650 and 627,105,284,835 is: 941,321,673,314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,775,399,650 : 627,105,284,835 = 627,105,284,835 : x
  2. Step 2: Convert to fraction form
    417,775,399,650/627,105,284,835 = 627,105,284,835/x
  3. Step 3: Cross multiply
    417,775,399,650x = 627,105,284,835 × 627,105,284,835
  4. Step 4: Simplify right side
    417,775,399,650x = 393,261,038,267,986,463,424,512
  5. Step 5: Solve for x
    x = 393,261,038,267,986,463,424,512/417,775,399,650
  6. Step 6: Final answer
    x = 941,321,673,314.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.