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Finding the Third Proportional to 26,902,146 and 42,827,265

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Solution

The third proportional to 26,902,146 and 42,827,265 is: 68,179,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,902,146 : 42,827,265 = 42,827,265 : x
  2. Step 2: Convert to fraction form
    26,902,146/42,827,265 = 42,827,265/x
  3. Step 3: Cross multiply
    26,902,146x = 42,827,265 × 42,827,265
  4. Step 4: Simplify right side
    26,902,146x = 1,834,174,627,380,225
  5. Step 5: Solve for x
    x = 1,834,174,627,380,225/26,902,146
  6. Step 6: Final answer
    x = 68,179,491.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.