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Finding the Third Proportional to 179,943,673,410 and 374,781,178,404

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Solution

The third proportional to 179,943,673,410 and 374,781,178,404 is: 780,582,773,620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,943,673,410 : 374,781,178,404 = 374,781,178,404 : x
  2. Step 2: Convert to fraction form
    179,943,673,410/374,781,178,404 = 374,781,178,404/x
  3. Step 3: Cross multiply
    179,943,673,410x = 374,781,178,404 × 374,781,178,404
  4. Step 4: Simplify right side
    179,943,673,410x = 140,460,931,685,890,874,408,960
  5. Step 5: Solve for x
    x = 140,460,931,685,890,874,408,960/179,943,673,410
  6. Step 6: Final answer
    x = 780,582,773,620.79

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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.