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Finding the Third Proportional to 7,829,006 and 11,025,021

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Solution

The third proportional to 7,829,006 and 11,025,021 is: 15,525,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829,006 : 11,025,021 = 11,025,021 : x
  2. Step 2: Convert to fraction form
    7,829,006/11,025,021 = 11,025,021/x
  3. Step 3: Cross multiply
    7,829,006x = 11,025,021 × 11,025,021
  4. Step 4: Simplify right side
    7,829,006x = 121,551,088,050,441
  5. Step 5: Solve for x
    x = 121,551,088,050,441/7,829,006
  6. Step 6: Final answer
    x = 15,525,736.99

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.