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Finding the Third Proportional to 417,775,399,620 and 627,105,284,790

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Solution

The third proportional to 417,775,399,620 and 627,105,284,790 is: 941,321,673,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,775,399,620 : 627,105,284,790 = 627,105,284,790 : x
  2. Step 2: Convert to fraction form
    417,775,399,620/627,105,284,790 = 627,105,284,790/x
  3. Step 3: Cross multiply
    417,775,399,620x = 627,105,284,790 × 627,105,284,790
  4. Step 4: Simplify right side
    417,775,399,620x = 393,261,038,211,547,036,385,280
  5. Step 5: Solve for x
    x = 393,261,038,211,547,036,385,280/417,775,399,620
  6. Step 6: Final answer
    x = 941,321,673,246.56

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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.