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Finding the Third Proportional to 1,102,735,890 and 1,707,277,851

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Solution

The third proportional to 1,102,735,890 and 1,707,277,851 is: 2,643,241,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,735,890 : 1,707,277,851 = 1,707,277,851 : x
  2. Step 2: Convert to fraction form
    1,102,735,890/1,707,277,851 = 1,707,277,851/x
  3. Step 3: Cross multiply
    1,102,735,890x = 1,707,277,851 × 1,707,277,851
  4. Step 4: Simplify right side
    1,102,735,890x = 2,914,797,660,515,177,984
  5. Step 5: Solve for x
    x = 2,914,797,660,515,177,984/1,102,735,890
  6. Step 6: Final answer
    x = 2,643,241,855.96

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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.