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Finding the Third Proportional to 7,890,825 and 17,242,566

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Solution

The third proportional to 7,890,825 and 17,242,566 is: 37,677,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890,825 : 17,242,566 = 17,242,566 : x
  2. Step 2: Convert to fraction form
    7,890,825/17,242,566 = 17,242,566/x
  3. Step 3: Cross multiply
    7,890,825x = 17,242,566 × 17,242,566
  4. Step 4: Simplify right side
    7,890,825x = 297,306,082,264,356
  5. Step 5: Solve for x
    x = 297,306,082,264,356/7,890,825
  6. Step 6: Final answer
    x = 37,677,439.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.