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Finding the Third Proportional to 7,570,181 and 16,654,315

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Solution

The third proportional to 7,570,181 and 16,654,315 is: 36,639,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570,181 : 16,654,315 = 16,654,315 : x
  2. Step 2: Convert to fraction form
    7,570,181/16,654,315 = 16,654,315/x
  3. Step 3: Cross multiply
    7,570,181x = 16,654,315 × 16,654,315
  4. Step 4: Simplify right side
    7,570,181x = 277,366,208,119,225
  5. Step 5: Solve for x
    x = 277,366,208,119,225/7,570,181
  6. Step 6: Final answer
    x = 36,639,309.96

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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.