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Finding the Third Proportional to 271,003,675,395 and 409,996,695,964.50

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Solution

The third proportional to 271,003,675,395 and 409,996,695,964.50 is: 620,276,793,134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,003,675,395 : 409,996,695,964.50 = 409,996,695,964.50 : x
  2. Step 2: Convert to fraction form
    271,003,675,395/409,996,695,964.50 = 409,996,695,964.50/x
  3. Step 3: Cross multiply
    271,003,675,395x = 409,996,695,964.50 × 409,996,695,964.50
  4. Step 4: Simplify right side
    271,003,675,395x = 168,097,290,701,806,636,105,728
  5. Step 5: Solve for x
    x = 168,097,290,701,806,636,105,728/271,003,675,395
  6. Step 6: Final answer
    x = 620,276,793,134.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.