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Finding the Third Proportional to 179,943,673,608 and 374,781,178,800

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Solution

The third proportional to 179,943,673,608 and 374,781,178,800 is: 780,582,774,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,943,673,608 : 374,781,178,800 = 374,781,178,800 : x
  2. Step 2: Convert to fraction form
    179,943,673,608/374,781,178,800 = 374,781,178,800/x
  3. Step 3: Cross multiply
    179,943,673,608x = 374,781,178,800 × 374,781,178,800
  4. Step 4: Simplify right side
    179,943,673,608x = 140,460,931,982,717,574,184,960
  5. Step 5: Solve for x
    x = 140,460,931,982,717,574,184,960/179,943,673,608
  6. Step 6: Final answer
    x = 780,582,774,411.43

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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.