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Finding the Third Proportional to 12,808,089.56 and 19,810,650.94

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Solution

The third proportional to 12,808,089.56 and 19,810,650.94 is: 30,641,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808,089.56 : 19,810,650.94 = 19,810,650.94 : x
  2. Step 2: Convert to fraction form
    12,808,089.56/19,810,650.94 = 19,810,650.94/x
  3. Step 3: Cross multiply
    12,808,089.56x = 19,810,650.94 × 19,810,650.94
  4. Step 4: Simplify right side
    12,808,089.56x = 392,461,890,567,469.62
  5. Step 5: Solve for x
    x = 392,461,890,567,469.62/12,808,089.56
  6. Step 6: Final answer
    x = 30,641,719.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.