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Finding the Third Proportional to 14,195,462.25 and 30,882,053.25

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Solution

The third proportional to 14,195,462.25 and 30,882,053.25 is: 67,183,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195,462.25 : 30,882,053.25 = 30,882,053.25 : x
  2. Step 2: Convert to fraction form
    14,195,462.25/30,882,053.25 = 30,882,053.25/x
  3. Step 3: Cross multiply
    14,195,462.25x = 30,882,053.25 × 30,882,053.25
  4. Step 4: Simplify right side
    14,195,462.25x = 953,701,212,935,835.50
  5. Step 5: Solve for x
    x = 953,701,212,935,835.50/14,195,462.25
  6. Step 6: Final answer
    x = 67,183,526.41

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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.