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Finding the Third Proportional to 4,992,447 and 10,780,416

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Solution

The third proportional to 4,992,447 and 10,780,416 is: 23,278,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992,447 : 10,780,416 = 10,780,416 : x
  2. Step 2: Convert to fraction form
    4,992,447/10,780,416 = 10,780,416/x
  3. Step 3: Cross multiply
    4,992,447x = 10,780,416 × 10,780,416
  4. Step 4: Simplify right side
    4,992,447x = 116,217,369,133,056
  5. Step 5: Solve for x
    x = 116,217,369,133,056/4,992,447
  6. Step 6: Final answer
    x = 23,278,638.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.