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Finding the Third Proportional to 4,436,734.50 and 9,545,971.50

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Solution

The third proportional to 4,436,734.50 and 9,545,971.50 is: 20,538,883.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,436,734.50 : 9,545,971.50 = 9,545,971.50 : x
  2. Step 2: Convert to fraction form
    4,436,734.50/9,545,971.50 = 9,545,971.50/x
  3. Step 3: Cross multiply
    4,436,734.50x = 9,545,971.50 × 9,545,971.50
  4. Step 4: Simplify right side
    4,436,734.50x = 91,125,571,878,812.25
  5. Step 5: Solve for x
    x = 91,125,571,878,812.25/4,436,734.50
  6. Step 6: Final answer
    x = 20,538,883.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.