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Finding the Third Proportional to 38,585,034 and 84,942,396

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Solution

The third proportional to 38,585,034 and 84,942,396 is: 186,995,057.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,585,034 : 84,942,396 = 84,942,396 : x
  2. Step 2: Convert to fraction form
    38,585,034/84,942,396 = 84,942,396/x
  3. Step 3: Cross multiply
    38,585,034x = 84,942,396 × 84,942,396
  4. Step 4: Simplify right side
    38,585,034x = 7,215,210,638,220,816
  5. Step 5: Solve for x
    x = 7,215,210,638,220,816/38,585,034
  6. Step 6: Final answer
    x = 186,995,057.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.