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Finding the Third Proportional to 7,612,317 and 17,762,670

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Solution

The third proportional to 7,612,317 and 17,762,670 is: 41,447,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612,317 : 17,762,670 = 17,762,670 : x
  2. Step 2: Convert to fraction form
    7,612,317/17,762,670 = 17,762,670/x
  3. Step 3: Cross multiply
    7,612,317x = 17,762,670 × 17,762,670
  4. Step 4: Simplify right side
    7,612,317x = 315,512,445,528,900
  5. Step 5: Solve for x
    x = 315,512,445,528,900/7,612,317
  6. Step 6: Final answer
    x = 41,447,623.05

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.