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Finding the Third Proportional to 15,533,872.50 and 23,300,809.50

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Solution

The third proportional to 15,533,872.50 and 23,300,809.50 is: 34,951,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533,872.50 : 23,300,809.50 = 23,300,809.50 : x
  2. Step 2: Convert to fraction form
    15,533,872.50/23,300,809.50 = 23,300,809.50/x
  3. Step 3: Cross multiply
    15,533,872.50x = 23,300,809.50 × 23,300,809.50
  4. Step 4: Simplify right side
    15,533,872.50x = 542,927,723,355,290.25
  5. Step 5: Solve for x
    x = 542,927,723,355,290.25/15,533,872.50
  6. Step 6: Final answer
    x = 34,951,215.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.