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Finding the Third Proportional to 10,281,775.50 and 22,333,509

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Solution

The third proportional to 10,281,775.50 and 22,333,509 is: 48,511,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281,775.50 : 22,333,509 = 22,333,509 : x
  2. Step 2: Convert to fraction form
    10,281,775.50/22,333,509 = 22,333,509/x
  3. Step 3: Cross multiply
    10,281,775.50x = 22,333,509 × 22,333,509
  4. Step 4: Simplify right side
    10,281,775.50x = 498,785,624,253,081
  5. Step 5: Solve for x
    x = 498,785,624,253,081/10,281,775.50
  6. Step 6: Final answer
    x = 48,511,623.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.