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Finding the Third Proportional to 5,125,056 and 7,861,320

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Solution

The third proportional to 5,125,056 and 7,861,320 is: 12,058,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125,056 : 7,861,320 = 7,861,320 : x
  2. Step 2: Convert to fraction form
    5,125,056/7,861,320 = 7,861,320/x
  3. Step 3: Cross multiply
    5,125,056x = 7,861,320 × 7,861,320
  4. Step 4: Simplify right side
    5,125,056x = 61,800,352,142,400
  5. Step 5: Solve for x
    x = 61,800,352,142,400/5,125,056
  6. Step 6: Final answer
    x = 12,058,473.54

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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.