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Finding the Third Proportional to 11,583,825 and 17,525,205

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Solution

The third proportional to 11,583,825 and 17,525,205 is: 26,513,937.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583,825 : 17,525,205 = 17,525,205 : x
  2. Step 2: Convert to fraction form
    11,583,825/17,525,205 = 17,525,205/x
  3. Step 3: Cross multiply
    11,583,825x = 17,525,205 × 17,525,205
  4. Step 4: Simplify right side
    11,583,825x = 307,132,810,292,025
  5. Step 5: Solve for x
    x = 307,132,810,292,025/11,583,825
  6. Step 6: Final answer
    x = 26,513,937.35

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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.