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Finding the Third Proportional to 4,843,969 and 11,418,587

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Solution

The third proportional to 4,843,969 and 11,418,587 is: 26,916,796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843,969 : 11,418,587 = 11,418,587 : x
  2. Step 2: Convert to fraction form
    4,843,969/11,418,587 = 11,418,587/x
  3. Step 3: Cross multiply
    4,843,969x = 11,418,587 × 11,418,587
  4. Step 4: Simplify right side
    4,843,969x = 130,384,129,076,569
  5. Step 5: Solve for x
    x = 130,384,129,076,569/4,843,969
  6. Step 6: Final answer
    x = 26,916,796.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.