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Finding the Third Proportional to 7,662,507 and 11,525,940

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Solution

The third proportional to 7,662,507 and 11,525,940 is: 17,337,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662,507 : 11,525,940 = 11,525,940 : x
  2. Step 2: Convert to fraction form
    7,662,507/11,525,940 = 11,525,940/x
  3. Step 3: Cross multiply
    7,662,507x = 11,525,940 × 11,525,940
  4. Step 4: Simplify right side
    7,662,507x = 132,847,292,883,600
  5. Step 5: Solve for x
    x = 132,847,292,883,600/7,662,507
  6. Step 6: Final answer
    x = 17,337,314.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.