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Finding the Third Proportional to 14,214,564.75 and 20,788,764.75

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Solution

The third proportional to 14,214,564.75 and 20,788,764.75 is: 30,403,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214,564.75 : 20,788,764.75 = 20,788,764.75 : x
  2. Step 2: Convert to fraction form
    14,214,564.75/20,788,764.75 = 20,788,764.75/x
  3. Step 3: Cross multiply
    14,214,564.75x = 20,788,764.75 × 20,788,764.75
  4. Step 4: Simplify right side
    14,214,564.75x = 432,172,739,830,842.56
  5. Step 5: Solve for x
    x = 432,172,739,830,842.56/14,214,564.75
  6. Step 6: Final answer
    x = 30,403,515.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.