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Finding the Third Proportional to 2,652,970.50 and 5,684,481

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Solution

The third proportional to 2,652,970.50 and 5,684,481 is: 12,180,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652,970.50 : 5,684,481 = 5,684,481 : x
  2. Step 2: Convert to fraction form
    2,652,970.50/5,684,481 = 5,684,481/x
  3. Step 3: Cross multiply
    2,652,970.50x = 5,684,481 × 5,684,481
  4. Step 4: Simplify right side
    2,652,970.50x = 32,313,324,239,361
  5. Step 5: Solve for x
    x = 32,313,324,239,361/2,652,970.50
  6. Step 6: Final answer
    x = 12,180,054.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.