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Finding the Third Proportional to 5,064,365 and 11,713,941

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Solution

The third proportional to 5,064,365 and 11,713,941 is: 27,094,495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064,365 : 11,713,941 = 11,713,941 : x
  2. Step 2: Convert to fraction form
    5,064,365/11,713,941 = 11,713,941/x
  3. Step 3: Cross multiply
    5,064,365x = 11,713,941 × 11,713,941
  4. Step 4: Simplify right side
    5,064,365x = 137,216,413,751,481
  5. Step 5: Solve for x
    x = 137,216,413,751,481/5,064,365
  6. Step 6: Final answer
    x = 27,094,495.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.