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Finding the Third Proportional to 2,143,546,335 and 4,643,283,736

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Solution

The third proportional to 2,143,546,335 and 4,643,283,736 is: 10,058,137,536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,546,335 : 4,643,283,736 = 4,643,283,736 : x
  2. Step 2: Convert to fraction form
    2,143,546,335/4,643,283,736 = 4,643,283,736/x
  3. Step 3: Cross multiply
    2,143,546,335x = 4,643,283,736 × 4,643,283,736
  4. Step 4: Simplify right side
    2,143,546,335x = 21,560,083,853,002,117,120
  5. Step 5: Solve for x
    x = 21,560,083,853,002,117,120/2,143,546,335
  6. Step 6: Final answer
    x = 10,058,137,536.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.