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Finding the Third Proportional to 38,819,588 and 83,092,324

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Solution

The third proportional to 38,819,588 and 83,092,324 is: 177,856,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,819,588 : 83,092,324 = 83,092,324 : x
  2. Step 2: Convert to fraction form
    38,819,588/83,092,324 = 83,092,324/x
  3. Step 3: Cross multiply
    38,819,588x = 83,092,324 × 83,092,324
  4. Step 4: Simplify right side
    38,819,588x = 6,904,334,307,720,976
  5. Step 5: Solve for x
    x = 6,904,334,307,720,976/38,819,588
  6. Step 6: Final answer
    x = 177,856,970.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.