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Finding the Third Proportional to 74,823,519,540 and 162,818,995,992

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Solution

The third proportional to 74,823,519,540 and 162,818,995,992 is: 354,300,701,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,823,519,540 : 162,818,995,992 = 162,818,995,992 : x
  2. Step 2: Convert to fraction form
    74,823,519,540/162,818,995,992 = 162,818,995,992/x
  3. Step 3: Cross multiply
    74,823,519,540x = 162,818,995,992 × 162,818,995,992
  4. Step 4: Simplify right side
    74,823,519,540x = 26,510,025,455,842,912,894,976
  5. Step 5: Solve for x
    x = 26,510,025,455,842,912,894,976/74,823,519,540
  6. Step 6: Final answer
    x = 354,300,701,421.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.