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Finding the Third Proportional to 38,023,020 and 82,106,604

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Solution

The third proportional to 38,023,020 and 82,106,604 is: 177,300,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,023,020 : 82,106,604 = 82,106,604 : x
  2. Step 2: Convert to fraction form
    38,023,020/82,106,604 = 82,106,604/x
  3. Step 3: Cross multiply
    38,023,020x = 82,106,604 × 82,106,604
  4. Step 4: Simplify right side
    38,023,020x = 6,741,494,420,412,816
  5. Step 5: Solve for x
    x = 6,741,494,420,412,816/38,023,020
  6. Step 6: Final answer
    x = 177,300,341.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.