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Finding the Third Proportional to 38,220,636 and 83,159,376

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Solution

The third proportional to 38,220,636 and 83,159,376 is: 180,935,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,220,636 : 83,159,376 = 83,159,376 : x
  2. Step 2: Convert to fraction form
    38,220,636/83,159,376 = 83,159,376/x
  3. Step 3: Cross multiply
    38,220,636x = 83,159,376 × 83,159,376
  4. Step 4: Simplify right side
    38,220,636x = 6,915,481,816,709,376
  5. Step 5: Solve for x
    x = 6,915,481,816,709,376/38,220,636
  6. Step 6: Final answer
    x = 180,935,812.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.