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Finding the Third Proportional to 82,977,626,948 and 178,540,343,206

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Solution

The third proportional to 82,977,626,948 and 178,540,343,206 is: 384,159,626,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,977,626,948 : 178,540,343,206 = 178,540,343,206 : x
  2. Step 2: Convert to fraction form
    82,977,626,948/178,540,343,206 = 178,540,343,206/x
  3. Step 3: Cross multiply
    82,977,626,948x = 178,540,343,206 × 178,540,343,206
  4. Step 4: Simplify right side
    82,977,626,948x = 31,876,654,152,116,271,579,136
  5. Step 5: Solve for x
    x = 31,876,654,152,116,271,579,136/82,977,626,948
  6. Step 6: Final answer
    x = 384,159,626,209.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.