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Finding the Third Proportional to 179,943,673,412 and 374,781,178,408

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Solution

The third proportional to 179,943,673,412 and 374,781,178,408 is: 780,582,773,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,943,673,412 : 374,781,178,408 = 374,781,178,408 : x
  2. Step 2: Convert to fraction form
    179,943,673,412/374,781,178,408 = 374,781,178,408/x
  3. Step 3: Cross multiply
    179,943,673,412x = 374,781,178,408 × 374,781,178,408
  4. Step 4: Simplify right side
    179,943,673,412x = 140,460,931,688,889,130,680,320
  5. Step 5: Solve for x
    x = 140,460,931,688,889,130,680,320/179,943,673,412
  6. Step 6: Final answer
    x = 780,582,773,628.77

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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.