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Finding the Third Proportional to 248,392,342,518 and 540,305,593,802

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Solution

The third proportional to 248,392,342,518 and 540,305,593,802 is: 1,175,278,318,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,392,342,518 : 540,305,593,802 = 540,305,593,802 : x
  2. Step 2: Convert to fraction form
    248,392,342,518/540,305,593,802 = 540,305,593,802/x
  3. Step 3: Cross multiply
    248,392,342,518x = 540,305,593,802 × 540,305,593,802
  4. Step 4: Simplify right side
    248,392,342,518x = 291,930,134,693,731,824,041,984
  5. Step 5: Solve for x
    x = 291,930,134,693,731,824,041,984/248,392,342,518
  6. Step 6: Final answer
    x = 1,175,278,318,704.92

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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.