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Finding the Third Proportional to 34,954,001 and 54,271,321

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Solution

The third proportional to 34,954,001 and 54,271,321 is: 84,264,353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,954,001 : 54,271,321 = 54,271,321 : x
  2. Step 2: Convert to fraction form
    34,954,001/54,271,321 = 54,271,321/x
  3. Step 3: Cross multiply
    34,954,001x = 54,271,321 × 54,271,321
  4. Step 4: Simplify right side
    34,954,001x = 2,945,376,283,085,041
  5. Step 5: Solve for x
    x = 2,945,376,283,085,041/34,954,001
  6. Step 6: Final answer
    x = 84,264,353.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.