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Finding the Third Proportional to 179,943,640,610 and 374,781,110,509

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Solution

The third proportional to 179,943,640,610 and 374,781,110,509 is: 780,582,633,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,943,640,610 : 374,781,110,509 = 374,781,110,509 : x
  2. Step 2: Convert to fraction form
    179,943,640,610/374,781,110,509 = 374,781,110,509/x
  3. Step 3: Cross multiply
    179,943,640,610x = 374,781,110,509 × 374,781,110,509
  4. Step 4: Simplify right side
    179,943,640,610x = 140,460,880,794,359,275,978,752
  5. Step 5: Solve for x
    x = 140,460,880,794,359,275,978,752/179,943,640,610
  6. Step 6: Final answer
    x = 780,582,633,085.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.