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Finding the Third Proportional to 1,821,182,765 and 3,918,581,434

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Solution

The third proportional to 1,821,182,765 and 3,918,581,434 is: 8,431,487,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,182,765 : 3,918,581,434 = 3,918,581,434 : x
  2. Step 2: Convert to fraction form
    1,821,182,765/3,918,581,434 = 3,918,581,434/x
  3. Step 3: Cross multiply
    1,821,182,765x = 3,918,581,434 × 3,918,581,434
  4. Step 4: Simplify right side
    1,821,182,765x = 15,355,280,454,889,496,576
  5. Step 5: Solve for x
    x = 15,355,280,454,889,496,576/1,821,182,765
  6. Step 6: Final answer
    x = 8,431,487,904.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.