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Finding the Third Proportional to 10,105,725 and 15,533,455.50

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Solution

The third proportional to 10,105,725 and 15,533,455.50 is: 23,876,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105,725 : 15,533,455.50 = 15,533,455.50 : x
  2. Step 2: Convert to fraction form
    10,105,725/15,533,455.50 = 15,533,455.50/x
  3. Step 3: Cross multiply
    10,105,725x = 15,533,455.50 × 15,533,455.50
  4. Step 4: Simplify right side
    10,105,725x = 241,288,239,770,480.25
  5. Step 5: Solve for x
    x = 241,288,239,770,480.25/10,105,725
  6. Step 6: Final answer
    x = 23,876,390.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.