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Finding the Third Proportional to 3,838,256 and 8,207,968

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Solution

The third proportional to 3,838,256 and 8,207,968 is: 17,552,434.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838,256 : 8,207,968 = 8,207,968 : x
  2. Step 2: Convert to fraction form
    3,838,256/8,207,968 = 8,207,968/x
  3. Step 3: Cross multiply
    3,838,256x = 8,207,968 × 8,207,968
  4. Step 4: Simplify right side
    3,838,256x = 67,370,738,689,024
  5. Step 5: Solve for x
    x = 67,370,738,689,024/3,838,256
  6. Step 6: Final answer
    x = 17,552,434.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.