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Finding the Third Proportional to 15,440,287.50 and 20,584,712.25

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Solution

The third proportional to 15,440,287.50 and 20,584,712.25 is: 27,443,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,440,287.50 : 20,584,712.25 = 20,584,712.25 : x
  2. Step 2: Convert to fraction form
    15,440,287.50/20,584,712.25 = 20,584,712.25/x
  3. Step 3: Cross multiply
    15,440,287.50x = 20,584,712.25 × 20,584,712.25
  4. Step 4: Simplify right side
    15,440,287.50x = 423,730,378,415,300.06
  5. Step 5: Solve for x
    x = 423,730,378,415,300.06/15,440,287.50
  6. Step 6: Final answer
    x = 27,443,166.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.