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Finding the Third Proportional to 3,323,972.25 and 7,144,461

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Solution

The third proportional to 3,323,972.25 and 7,144,461 is: 15,356,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323,972.25 : 7,144,461 = 7,144,461 : x
  2. Step 2: Convert to fraction form
    3,323,972.25/7,144,461 = 7,144,461/x
  3. Step 3: Cross multiply
    3,323,972.25x = 7,144,461 × 7,144,461
  4. Step 4: Simplify right side
    3,323,972.25x = 51,043,322,980,521
  5. Step 5: Solve for x
    x = 51,043,322,980,521/3,323,972.25
  6. Step 6: Final answer
    x = 15,356,121.88

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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.