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Finding the Third Proportional to 6,510,486 and 14,141,832

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Solution

The third proportional to 6,510,486 and 14,141,832 is: 30,718,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510,486 : 14,141,832 = 14,141,832 : x
  2. Step 2: Convert to fraction form
    6,510,486/14,141,832 = 14,141,832/x
  3. Step 3: Cross multiply
    6,510,486x = 14,141,832 × 14,141,832
  4. Step 4: Simplify right side
    6,510,486x = 199,991,412,316,224
  5. Step 5: Solve for x
    x = 199,991,412,316,224/6,510,486
  6. Step 6: Final answer
    x = 30,718,353.79

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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.