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Finding the Third Proportional to 82,413,271,002 and 178,517,809,356

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Solution

The third proportional to 82,413,271,002 and 178,517,809,356 is: 386,692,675,461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,413,271,002 : 178,517,809,356 = 178,517,809,356 : x
  2. Step 2: Convert to fraction form
    82,413,271,002/178,517,809,356 = 178,517,809,356/x
  3. Step 3: Cross multiply
    82,413,271,002x = 178,517,809,356 × 178,517,809,356
  4. Step 4: Simplify right side
    82,413,271,002x = 31,868,608,257,265,162,518,528
  5. Step 5: Solve for x
    x = 31,868,608,257,265,162,518,528/82,413,271,002
  6. Step 6: Final answer
    x = 386,692,675,461.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.