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Finding the Third Proportional to 12,147,423.75 and 18,627,050.25

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Solution

The third proportional to 12,147,423.75 and 18,627,050.25 is: 28,563,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147,423.75 : 18,627,050.25 = 18,627,050.25 : x
  2. Step 2: Convert to fraction form
    12,147,423.75/18,627,050.25 = 18,627,050.25/x
  3. Step 3: Cross multiply
    12,147,423.75x = 18,627,050.25 × 18,627,050.25
  4. Step 4: Simplify right side
    12,147,423.75x = 346,967,001,016,025.06
  5. Step 5: Solve for x
    x = 346,967,001,016,025.06/12,147,423.75
  6. Step 6: Final answer
    x = 28,563,011.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.