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Finding the Third Proportional to 4,753,536 and 10,378,146

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Solution

The third proportional to 4,753,536 and 10,378,146 is: 22,658,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753,536 : 10,378,146 = 10,378,146 : x
  2. Step 2: Convert to fraction form
    4,753,536/10,378,146 = 10,378,146/x
  3. Step 3: Cross multiply
    4,753,536x = 10,378,146 × 10,378,146
  4. Step 4: Simplify right side
    4,753,536x = 107,705,914,397,316
  5. Step 5: Solve for x
    x = 107,705,914,397,316/4,753,536
  6. Step 6: Final answer
    x = 22,658,062.21

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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.