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Finding the Third Proportional to 10,136,838 and 22,058,265

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Solution

The third proportional to 10,136,838 and 22,058,265 is: 47,999,884.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136,838 : 22,058,265 = 22,058,265 : x
  2. Step 2: Convert to fraction form
    10,136,838/22,058,265 = 22,058,265/x
  3. Step 3: Cross multiply
    10,136,838x = 22,058,265 × 22,058,265
  4. Step 4: Simplify right side
    10,136,838x = 486,567,054,810,225
  5. Step 5: Solve for x
    x = 486,567,054,810,225/10,136,838
  6. Step 6: Final answer
    x = 47,999,884.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.