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Finding the Third Proportional to 74,565,831,586 and 163,567,992,174

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Solution

The third proportional to 74,565,831,586 and 163,567,992,174 is: 358,803,589,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,565,831,586 : 163,567,992,174 = 163,567,992,174 : x
  2. Step 2: Convert to fraction form
    74,565,831,586/163,567,992,174 = 163,567,992,174/x
  3. Step 3: Cross multiply
    74,565,831,586x = 163,567,992,174 × 163,567,992,174
  4. Step 4: Simplify right side
    74,565,831,586x = 26,754,488,063,833,726,255,104
  5. Step 5: Solve for x
    x = 26,754,488,063,833,726,255,104/74,565,831,586
  6. Step 6: Final answer
    x = 358,803,589,992.51

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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.