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Finding the Third Proportional to 1,387,293,646 and 2,004,399,749

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Solution

The third proportional to 1,387,293,646 and 2,004,399,749 is: 2,896,011,500.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387,293,646 : 2,004,399,749 = 2,004,399,749 : x
  2. Step 2: Convert to fraction form
    1,387,293,646/2,004,399,749 = 2,004,399,749/x
  3. Step 3: Cross multiply
    1,387,293,646x = 2,004,399,749 × 2,004,399,749
  4. Step 4: Simplify right side
    1,387,293,646x = 4,017,618,353,791,263,232
  5. Step 5: Solve for x
    x = 4,017,618,353,791,263,232/1,387,293,646
  6. Step 6: Final answer
    x = 2,896,011,500.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.