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Finding the Third Proportional to 34,254,981 and 73,857,382.03

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Solution

The third proportional to 34,254,981 and 73,857,382.03 is: 159,244,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,254,981 : 73,857,382.03 = 73,857,382.03 : x
  2. Step 2: Convert to fraction form
    34,254,981/73,857,382.03 = 73,857,382.03/x
  3. Step 3: Cross multiply
    34,254,981x = 73,857,382.03 × 73,857,382.03
  4. Step 4: Simplify right side
    34,254,981x = 5,454,912,880,510,010
  5. Step 5: Solve for x
    x = 5,454,912,880,510,010/34,254,981
  6. Step 6: Final answer
    x = 159,244,370.34

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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.