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Finding the Third Proportional to 1,384,998,648 and 2,070,585,040

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Solution

The third proportional to 1,384,998,648 and 2,070,585,040 is: 3,095,542,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,998,648 : 2,070,585,040 = 2,070,585,040 : x
  2. Step 2: Convert to fraction form
    1,384,998,648/2,070,585,040 = 2,070,585,040/x
  3. Step 3: Cross multiply
    1,384,998,648x = 2,070,585,040 × 2,070,585,040
  4. Step 4: Simplify right side
    1,384,998,648x = 4,287,322,407,871,801,344
  5. Step 5: Solve for x
    x = 4,287,322,407,871,801,344/1,384,998,648
  6. Step 6: Final answer
    x = 3,095,542,666.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.