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Finding the Third Proportional to 6,510,512 and 14,141,884

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Solution

The third proportional to 6,510,512 and 14,141,884 is: 30,718,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510,512 : 14,141,884 = 14,141,884 : x
  2. Step 2: Convert to fraction form
    6,510,512/14,141,884 = 14,141,884/x
  3. Step 3: Cross multiply
    6,510,512x = 14,141,884 × 14,141,884
  4. Step 4: Simplify right side
    6,510,512x = 199,992,883,069,456
  5. Step 5: Solve for x
    x = 199,992,883,069,456/6,510,512
  6. Step 6: Final answer
    x = 30,718,457.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.