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Finding the Third Proportional to 272,544,496,836 and 593,080,703,100

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Solution

The third proportional to 272,544,496,836 and 593,080,703,100 is: 1,290,595,570,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,544,496,836 : 593,080,703,100 = 593,080,703,100 : x
  2. Step 2: Convert to fraction form
    272,544,496,836/593,080,703,100 = 593,080,703,100/x
  3. Step 3: Cross multiply
    272,544,496,836x = 593,080,703,100 × 593,080,703,100
  4. Step 4: Simplify right side
    272,544,496,836x = 351,744,720,389,590,338,240,512
  5. Step 5: Solve for x
    x = 351,744,720,389,590,338,240,512/272,544,496,836
  6. Step 6: Final answer
    x = 1,290,595,570,532.65

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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.