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Finding the Third Proportional to 49,943,889,004 and 117,858,638,746

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Solution

The third proportional to 49,943,889,004 and 117,858,638,746 is: 278,125,292,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,943,889,004 : 117,858,638,746 = 117,858,638,746 : x
  2. Step 2: Convert to fraction form
    49,943,889,004/117,858,638,746 = 117,858,638,746/x
  3. Step 3: Cross multiply
    49,943,889,004x = 117,858,638,746 × 117,858,638,746
  4. Step 4: Simplify right side
    49,943,889,004x = 13,890,658,727,060,131,807,232
  5. Step 5: Solve for x
    x = 13,890,658,727,060,131,807,232/49,943,889,004
  6. Step 6: Final answer
    x = 278,125,292,284.46

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.