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Finding the Third Proportional to 1,241,697,474 and 1,947,859,632

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Solution

The third proportional to 1,241,697,474 and 1,947,859,632 is: 3,055,621,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,697,474 : 1,947,859,632 = 1,947,859,632 : x
  2. Step 2: Convert to fraction form
    1,241,697,474/1,947,859,632 = 1,947,859,632/x
  3. Step 3: Cross multiply
    1,241,697,474x = 1,947,859,632 × 1,947,859,632
  4. Step 4: Simplify right side
    1,241,697,474x = 3,794,157,145,975,175,168
  5. Step 5: Solve for x
    x = 3,794,157,145,975,175,168/1,241,697,474
  6. Step 6: Final answer
    x = 3,055,621,216.46

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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.