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Finding the Third Proportional to 7,135,834 and 10,172,255

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Solution

The third proportional to 7,135,834 and 10,172,255 is: 14,500,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135,834 : 10,172,255 = 10,172,255 : x
  2. Step 2: Convert to fraction form
    7,135,834/10,172,255 = 10,172,255/x
  3. Step 3: Cross multiply
    7,135,834x = 10,172,255 × 10,172,255
  4. Step 4: Simplify right side
    7,135,834x = 103,474,771,785,025
  5. Step 5: Solve for x
    x = 103,474,771,785,025/7,135,834
  6. Step 6: Final answer
    x = 14,500,725.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.