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Finding the Third Proportional to 1,073,591,333 and 2,348,145,610

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Solution

The third proportional to 1,073,591,333 and 2,348,145,610 is: 5,135,834,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,591,333 : 2,348,145,610 = 2,348,145,610 : x
  2. Step 2: Convert to fraction form
    1,073,591,333/2,348,145,610 = 2,348,145,610/x
  3. Step 3: Cross multiply
    1,073,591,333x = 2,348,145,610 × 2,348,145,610
  4. Step 4: Simplify right side
    1,073,591,333x = 5,513,787,805,762,272,256
  5. Step 5: Solve for x
    x = 5,513,787,805,762,272,256/1,073,591,333
  6. Step 6: Final answer
    x = 5,135,834,871.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.