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Finding the Third Proportional to 7,602,624 and 16,543,692

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Solution

The third proportional to 7,602,624 and 16,543,692 is: 35,999,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602,624 : 16,543,692 = 16,543,692 : x
  2. Step 2: Convert to fraction form
    7,602,624/16,543,692 = 16,543,692/x
  3. Step 3: Cross multiply
    7,602,624x = 16,543,692 × 16,543,692
  4. Step 4: Simplify right side
    7,602,624x = 273,693,744,990,864
  5. Step 5: Solve for x
    x = 273,693,744,990,864/7,602,624
  6. Step 6: Final answer
    x = 35,999,905.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.