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Finding the Third Proportional to 387,035,916,280 and 605,816,917,404

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Solution

The third proportional to 387,035,916,280 and 605,816,917,404 is: 948,268,938,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,035,916,280 : 605,816,917,404 = 605,816,917,404 : x
  2. Step 2: Convert to fraction form
    387,035,916,280/605,816,917,404 = 605,816,917,404/x
  3. Step 3: Cross multiply
    387,035,916,280x = 605,816,917,404 × 605,816,917,404
  4. Step 4: Simplify right side
    387,035,916,280x = 367,014,137,412,884,986,068,992
  5. Step 5: Solve for x
    x = 367,014,137,412,884,986,068,992/387,035,916,280
  6. Step 6: Final answer
    x = 948,268,938,295.04

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.