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Finding the Third Proportional to 4,542,829 and 10,007,438

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Solution

The third proportional to 4,542,829 and 10,007,438 is: 22,045,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542,829 : 10,007,438 = 10,007,438 : x
  2. Step 2: Convert to fraction form
    4,542,829/10,007,438 = 10,007,438/x
  3. Step 3: Cross multiply
    4,542,829x = 10,007,438 × 10,007,438
  4. Step 4: Simplify right side
    4,542,829x = 100,148,815,323,844
  5. Step 5: Solve for x
    x = 100,148,815,323,844/4,542,829
  6. Step 6: Final answer
    x = 22,045,473.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.