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Finding the Third Proportional to 2,616,418,935 and 4,021,616,385

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Solution

The third proportional to 2,616,418,935 and 4,021,616,385 is: 6,181,501,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616,418,935 : 4,021,616,385 = 4,021,616,385 : x
  2. Step 2: Convert to fraction form
    2,616,418,935/4,021,616,385 = 4,021,616,385/x
  3. Step 3: Cross multiply
    2,616,418,935x = 4,021,616,385 × 4,021,616,385
  4. Step 4: Simplify right side
    2,616,418,935x = 16,173,398,348,100,468,736
  5. Step 5: Solve for x
    x = 16,173,398,348,100,468,736/2,616,418,935
  6. Step 6: Final answer
    x = 6,181,501,796.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.