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Finding the Third Proportional to 6,463,196 and 10,021,422

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Solution

The third proportional to 6,463,196 and 10,021,422 is: 15,538,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463,196 : 10,021,422 = 10,021,422 : x
  2. Step 2: Convert to fraction form
    6,463,196/10,021,422 = 10,021,422/x
  3. Step 3: Cross multiply
    6,463,196x = 10,021,422 × 10,021,422
  4. Step 4: Simplify right side
    6,463,196x = 100,428,898,902,084
  5. Step 5: Solve for x
    x = 100,428,898,902,084/6,463,196
  6. Step 6: Final answer
    x = 15,538,581.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.