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Finding the Third Proportional to 10,120,410 and 15,567,741

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Solution

The third proportional to 10,120,410 and 15,567,741 is: 23,947,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120,410 : 15,567,741 = 15,567,741 : x
  2. Step 2: Convert to fraction form
    10,120,410/15,567,741 = 15,567,741/x
  3. Step 3: Cross multiply
    10,120,410x = 15,567,741 × 15,567,741
  4. Step 4: Simplify right side
    10,120,410x = 242,354,559,843,081
  5. Step 5: Solve for x
    x = 242,354,559,843,081/10,120,410
  6. Step 6: Final answer
    x = 23,947,108.85

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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.