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Finding the Third Proportional to 13,575,006 and 18,988,782.75

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Solution

The third proportional to 13,575,006 and 18,988,782.75 is: 26,561,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575,006 : 18,988,782.75 = 18,988,782.75 : x
  2. Step 2: Convert to fraction form
    13,575,006/18,988,782.75 = 18,988,782.75/x
  3. Step 3: Cross multiply
    13,575,006x = 18,988,782.75 × 18,988,782.75
  4. Step 4: Simplify right side
    13,575,006x = 360,573,870,326,697.56
  5. Step 5: Solve for x
    x = 360,573,870,326,697.56/13,575,006
  6. Step 6: Final answer
    x = 26,561,599.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.