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Finding the Third Proportional to 7,829,008 and 11,025,024

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Solution

The third proportional to 7,829,008 and 11,025,024 is: 15,525,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829,008 : 11,025,024 = 11,025,024 : x
  2. Step 2: Convert to fraction form
    7,829,008/11,025,024 = 11,025,024/x
  3. Step 3: Cross multiply
    7,829,008x = 11,025,024 × 11,025,024
  4. Step 4: Simplify right side
    7,829,008x = 121,551,154,200,576
  5. Step 5: Solve for x
    x = 121,551,154,200,576/7,829,008
  6. Step 6: Final answer
    x = 15,525,741.47

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Why These Related Problems?

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