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Finding the Third Proportional to 26,902,125 and 42,827,233.50

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Solution

The third proportional to 26,902,125 and 42,827,233.50 is: 68,179,444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,902,125 : 42,827,233.50 = 42,827,233.50 : x
  2. Step 2: Convert to fraction form
    26,902,125/42,827,233.50 = 42,827,233.50/x
  3. Step 3: Cross multiply
    26,902,125x = 42,827,233.50 × 42,827,233.50
  4. Step 4: Simplify right side
    26,902,125x = 1,834,171,929,263,522.25
  5. Step 5: Solve for x
    x = 1,834,171,929,263,522.25/26,902,125
  6. Step 6: Final answer
    x = 68,179,444.16

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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.