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Finding the Third Proportional to 5,375,448.56 and 11,695,676.06

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Solution

The third proportional to 5,375,448.56 and 11,695,676.06 is: 25,446,962.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375,448.56 : 11,695,676.06 = 11,695,676.06 : x
  2. Step 2: Convert to fraction form
    5,375,448.56/11,695,676.06 = 11,695,676.06/x
  3. Step 3: Cross multiply
    5,375,448.56x = 11,695,676.06 × 11,695,676.06
  4. Step 4: Simplify right side
    5,375,448.56x = 136,788,838,558,935.50
  5. Step 5: Solve for x
    x = 136,788,838,558,935.50/5,375,448.56
  6. Step 6: Final answer
    x = 25,446,962.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.