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Finding the Third Proportional to 2,503,968 and 5,407,102

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Solution

The third proportional to 2,503,968 and 5,407,102 is: 11,676,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503,968 : 5,407,102 = 5,407,102 : x
  2. Step 2: Convert to fraction form
    2,503,968/5,407,102 = 5,407,102/x
  3. Step 3: Cross multiply
    2,503,968x = 5,407,102 × 5,407,102
  4. Step 4: Simplify right side
    2,503,968x = 29,236,752,038,404
  5. Step 5: Solve for x
    x = 29,236,752,038,404/2,503,968
  6. Step 6: Final answer
    x = 11,676,168.40

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