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Finding the Third Proportional to 37,812,210 and 82,745,292

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Solution

The third proportional to 37,812,210 and 82,745,292 is: 181,073,345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,812,210 : 82,745,292 = 82,745,292 : x
  2. Step 2: Convert to fraction form
    37,812,210/82,745,292 = 82,745,292/x
  3. Step 3: Cross multiply
    37,812,210x = 82,745,292 × 82,745,292
  4. Step 4: Simplify right side
    37,812,210x = 6,846,783,348,165,264
  5. Step 5: Solve for x
    x = 6,846,783,348,165,264/37,812,210
  6. Step 6: Final answer
    x = 181,073,345.04

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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.