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Finding the Third Proportional to 1,102,735,888 and 1,707,277,848

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Solution

The third proportional to 1,102,735,888 and 1,707,277,848 is: 2,643,241,851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,735,888 : 1,707,277,848 = 1,707,277,848 : x
  2. Step 2: Convert to fraction form
    1,102,735,888/1,707,277,848 = 1,707,277,848/x
  3. Step 3: Cross multiply
    1,102,735,888x = 1,707,277,848 × 1,707,277,848
  4. Step 4: Simplify right side
    1,102,735,888x = 2,914,797,650,271,511,040
  5. Step 5: Solve for x
    x = 2,914,797,650,271,511,040/1,102,735,888
  6. Step 6: Final answer
    x = 2,643,241,851.46

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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.