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Finding the Third Proportional to 37,940,084 and 83,254,246

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Solution

The third proportional to 37,940,084 and 83,254,246 is: 182,689,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,940,084 : 83,254,246 = 83,254,246 : x
  2. Step 2: Convert to fraction form
    37,940,084/83,254,246 = 83,254,246/x
  3. Step 3: Cross multiply
    37,940,084x = 83,254,246 × 83,254,246
  4. Step 4: Simplify right side
    37,940,084x = 6,931,269,477,028,516
  5. Step 5: Solve for x
    x = 6,931,269,477,028,516/37,940,084
  6. Step 6: Final answer
    x = 182,689,882.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.