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Finding the Third Proportional to 82,977,626,621 and 178,540,342,553

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Solution

The third proportional to 82,977,626,621 and 178,540,342,553 is: 384,159,624,913.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,977,626,621 : 178,540,342,553 = 178,540,342,553 : x
  2. Step 2: Convert to fraction form
    82,977,626,621/178,540,342,553 = 178,540,342,553/x
  3. Step 3: Cross multiply
    82,977,626,621x = 178,540,342,553 × 178,540,342,553
  4. Step 4: Simplify right side
    82,977,626,621x = 31,876,653,918,942,580,965,376
  5. Step 5: Solve for x
    x = 31,876,653,918,942,580,965,376/82,977,626,621
  6. Step 6: Final answer
    x = 384,159,624,913.58

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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.