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Finding the Third Proportional to 642,424,945,140 and 961,090,322,004

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Solution

The third proportional to 642,424,945,140 and 961,090,322,004 is: 1,437,824,938,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,424,945,140 : 961,090,322,004 = 961,090,322,004 : x
  2. Step 2: Convert to fraction form
    642,424,945,140/961,090,322,004 = 961,090,322,004/x
  3. Step 3: Cross multiply
    642,424,945,140x = 961,090,322,004 × 961,090,322,004
  4. Step 4: Simplify right side
    642,424,945,140x = 923,694,607,049,752,387,256,320
  5. Step 5: Solve for x
    x = 923,694,607,049,752,387,256,320/642,424,945,140
  6. Step 6: Final answer
    x = 1,437,824,938,208.86

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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.