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Finding the Third Proportional to 11,583,824 and 17,525,202

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Solution

The third proportional to 11,583,824 and 17,525,202 is: 26,513,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583,824 : 17,525,202 = 17,525,202 : x
  2. Step 2: Convert to fraction form
    11,583,824/17,525,202 = 17,525,202/x
  3. Step 3: Cross multiply
    11,583,824x = 17,525,202 × 17,525,202
  4. Step 4: Simplify right side
    11,583,824x = 307,132,705,140,804
  5. Step 5: Solve for x
    x = 307,132,705,140,804/11,583,824
  6. Step 6: Final answer
    x = 26,513,930.56

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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.