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Finding the Third Proportional to 42,872,616 and 91,275,624

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Solution

The third proportional to 42,872,616 and 91,275,624 is: 194,325,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,872,616 : 91,275,624 = 91,275,624 : x
  2. Step 2: Convert to fraction form
    42,872,616/91,275,624 = 91,275,624/x
  3. Step 3: Cross multiply
    42,872,616x = 91,275,624 × 91,275,624
  4. Step 4: Simplify right side
    42,872,616x = 8,331,239,536,589,376
  5. Step 5: Solve for x
    x = 8,331,239,536,589,376/42,872,616
  6. Step 6: Final answer
    x = 194,325,429.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.