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Finding the Third Proportional to 1,701,112,538 and 2,668,541,208

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Solution

The third proportional to 1,701,112,538 and 2,668,541,208 is: 4,186,149,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701,112,538 : 2,668,541,208 = 2,668,541,208 : x
  2. Step 2: Convert to fraction form
    1,701,112,538/2,668,541,208 = 2,668,541,208/x
  3. Step 3: Cross multiply
    1,701,112,538x = 2,668,541,208 × 2,668,541,208
  4. Step 4: Simplify right side
    1,701,112,538x = 7,121,112,178,794,099,712
  5. Step 5: Solve for x
    x = 7,121,112,178,794,099,712/1,701,112,538
  6. Step 6: Final answer
    x = 4,186,149,957.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.