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Finding the Third Proportional to 7,525,616 and 11,358,966

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Solution

The third proportional to 7,525,616 and 11,358,966 is: 17,144,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525,616 : 11,358,966 = 11,358,966 : x
  2. Step 2: Convert to fraction form
    7,525,616/11,358,966 = 11,358,966/x
  3. Step 3: Cross multiply
    7,525,616x = 11,358,966 × 11,358,966
  4. Step 4: Simplify right side
    7,525,616x = 129,026,108,589,156
  5. Step 5: Solve for x
    x = 129,026,108,589,156/7,525,616
  6. Step 6: Final answer
    x = 17,144,923.23

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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.