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Finding the Third Proportional to 9,586,536.75 and 13,484,103.75

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Solution

The third proportional to 9,586,536.75 and 13,484,103.75 is: 18,966,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586,536.75 : 13,484,103.75 = 13,484,103.75 : x
  2. Step 2: Convert to fraction form
    9,586,536.75/13,484,103.75 = 13,484,103.75/x
  3. Step 3: Cross multiply
    9,586,536.75x = 13,484,103.75 × 13,484,103.75
  4. Step 4: Simplify right side
    9,586,536.75x = 181,821,053,940,764.06
  5. Step 5: Solve for x
    x = 181,821,053,940,764.06/9,586,536.75
  6. Step 6: Final answer
    x = 18,966,291.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.