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Finding the Third Proportional to 39,079,148 and 83,536,396

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Solution

The third proportional to 39,079,148 and 83,536,396 is: 178,569,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,079,148 : 83,536,396 = 83,536,396 : x
  2. Step 2: Convert to fraction form
    39,079,148/83,536,396 = 83,536,396/x
  3. Step 3: Cross multiply
    39,079,148x = 83,536,396 × 83,536,396
  4. Step 4: Simplify right side
    39,079,148x = 6,978,329,456,668,816
  5. Step 5: Solve for x
    x = 6,978,329,456,668,816/39,079,148
  6. Step 6: Final answer
    x = 178,569,129.93

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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.