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Finding the Third Proportional to 7,525,614 and 11,358,963

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Solution

The third proportional to 7,525,614 and 11,358,963 is: 17,144,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525,614 : 11,358,963 = 11,358,963 : x
  2. Step 2: Convert to fraction form
    7,525,614/11,358,963 = 11,358,963/x
  3. Step 3: Cross multiply
    7,525,614x = 11,358,963 × 11,358,963
  4. Step 4: Simplify right side
    7,525,614x = 129,026,040,435,369
  5. Step 5: Solve for x
    x = 129,026,040,435,369/7,525,614
  6. Step 6: Final answer
    x = 17,144,918.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.