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Finding the Third Proportional to 83,014,724 and 181,667,602

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Solution

The third proportional to 83,014,724 and 181,667,602 is: 397,557,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,014,724 : 181,667,602 = 181,667,602 : x
  2. Step 2: Convert to fraction form
    83,014,724/181,667,602 = 181,667,602/x
  3. Step 3: Cross multiply
    83,014,724x = 181,667,602 × 181,667,602
  4. Step 4: Simplify right side
    83,014,724x = 33,003,117,616,430,404
  5. Step 5: Solve for x
    x = 33,003,117,616,430,404/83,014,724
  6. Step 6: Final answer
    x = 397,557,397.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.