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Finding the Third Proportional to 7,759,505 and 18,291,311

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Solution

The third proportional to 7,759,505 and 18,291,311 is: 43,117,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759,505 : 18,291,311 = 18,291,311 : x
  2. Step 2: Convert to fraction form
    7,759,505/18,291,311 = 18,291,311/x
  3. Step 3: Cross multiply
    7,759,505x = 18,291,311 × 18,291,311
  4. Step 4: Simplify right side
    7,759,505x = 334,572,058,098,721
  5. Step 5: Solve for x
    x = 334,572,058,098,721/7,759,505
  6. Step 6: Final answer
    x = 43,117,706.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.