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Finding the Third Proportional to 657,785,418.75 and 1,462,640,679

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Solution

The third proportional to 657,785,418.75 and 1,462,640,679 is: 3,252,303,403.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,785,418.75 : 1,462,640,679 = 1,462,640,679 : x
  2. Step 2: Convert to fraction form
    657,785,418.75/1,462,640,679 = 1,462,640,679/x
  3. Step 3: Cross multiply
    657,785,418.75x = 1,462,640,679 × 1,462,640,679
  4. Step 4: Simplify right side
    657,785,418.75x = 2,139,317,755,865,581,056
  5. Step 5: Solve for x
    x = 2,139,317,755,865,581,056/657,785,418.75
  6. Step 6: Final answer
    x = 3,252,303,403.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.