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Finding the Third Proportional to 7,160,989.78 and 14,652,900

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Solution

The third proportional to 7,160,989.78 and 14,652,900 is: 29,982,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160,989.78 : 14,652,900 = 14,652,900 : x
  2. Step 2: Convert to fraction form
    7,160,989.78/14,652,900 = 14,652,900/x
  3. Step 3: Cross multiply
    7,160,989.78x = 14,652,900 × 14,652,900
  4. Step 4: Simplify right side
    7,160,989.78x = 214,707,478,410,000
  5. Step 5: Solve for x
    x = 214,707,478,410,000/7,160,989.78
  6. Step 6: Final answer
    x = 29,982,933.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.