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Finding the Third Proportional to 13,809,633 and 29,074,986

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Solution

The third proportional to 13,809,633 and 29,074,986 is: 61,214,864.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809,633 : 29,074,986 = 29,074,986 : x
  2. Step 2: Convert to fraction form
    13,809,633/29,074,986 = 29,074,986/x
  3. Step 3: Cross multiply
    13,809,633x = 29,074,986 × 29,074,986
  4. Step 4: Simplify right side
    13,809,633x = 845,354,810,900,196
  5. Step 5: Solve for x
    x = 845,354,810,900,196/13,809,633
  6. Step 6: Final answer
    x = 61,214,864.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.