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Finding the Third Proportional to 11,460,730.50 and 17,338,740.75

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Solution

The third proportional to 11,460,730.50 and 17,338,740.75 is: 26,231,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460,730.50 : 17,338,740.75 = 17,338,740.75 : x
  2. Step 2: Convert to fraction form
    11,460,730.50/17,338,740.75 = 17,338,740.75/x
  3. Step 3: Cross multiply
    11,460,730.50x = 17,338,740.75 × 17,338,740.75
  4. Step 4: Simplify right side
    11,460,730.50x = 300,631,930,795,710.56
  5. Step 5: Solve for x
    x = 300,631,930,795,710.56/11,460,730.50
  6. Step 6: Final answer
    x = 26,231,480.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.