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Finding the Third Proportional to 13,536,709 and 29,231,321

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Solution

The third proportional to 13,536,709 and 29,231,321 is: 63,122,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536,709 : 29,231,321 = 29,231,321 : x
  2. Step 2: Convert to fraction form
    13,536,709/29,231,321 = 29,231,321/x
  3. Step 3: Cross multiply
    13,536,709x = 29,231,321 × 29,231,321
  4. Step 4: Simplify right side
    13,536,709x = 854,470,127,405,041
  5. Step 5: Solve for x
    x = 854,470,127,405,041/13,536,709
  6. Step 6: Final answer
    x = 63,122,441.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.