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Finding the Third Proportional to 355,856,993 and 769,270,642

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Solution

The third proportional to 355,856,993 and 769,270,642 is: 1,662,963,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,856,993 : 769,270,642 = 769,270,642 : x
  2. Step 2: Convert to fraction form
    355,856,993/769,270,642 = 769,270,642/x
  3. Step 3: Cross multiply
    355,856,993x = 769,270,642 × 769,270,642
  4. Step 4: Simplify right side
    355,856,993x = 591,777,320,643,092,224
  5. Step 5: Solve for x
    x = 591,777,320,643,092,224/355,856,993
  6. Step 6: Final answer
    x = 1,662,963,865.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.