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Finding the Third Proportional to 5,767,640 and 12,447,190

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Solution

The third proportional to 5,767,640 and 12,447,190 is: 26,862,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767,640 : 12,447,190 = 12,447,190 : x
  2. Step 2: Convert to fraction form
    5,767,640/12,447,190 = 12,447,190/x
  3. Step 3: Cross multiply
    5,767,640x = 12,447,190 × 12,447,190
  4. Step 4: Simplify right side
    5,767,640x = 154,932,538,896,100
  5. Step 5: Solve for x
    x = 154,932,538,896,100/5,767,640
  6. Step 6: Final answer
    x = 26,862,380.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.