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Finding the Third Proportional to 26,465,685.75 and 57,640,014

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Solution

The third proportional to 26,465,685.75 and 57,640,014 is: 125,535,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,465,685.75 : 57,640,014 = 57,640,014 : x
  2. Step 2: Convert to fraction form
    26,465,685.75/57,640,014 = 57,640,014/x
  3. Step 3: Cross multiply
    26,465,685.75x = 57,640,014 × 57,640,014
  4. Step 4: Simplify right side
    26,465,685.75x = 3,322,371,213,920,196
  5. Step 5: Solve for x
    x = 3,322,371,213,920,196/26,465,685.75
  6. Step 6: Final answer
    x = 125,535,051.13

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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.