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Finding the Third Proportional to 261,862,632 and 410,784,210

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Solution

The third proportional to 261,862,632 and 410,784,210 is: 644,397,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,862,632 : 410,784,210 = 410,784,210 : x
  2. Step 2: Convert to fraction form
    261,862,632/410,784,210 = 410,784,210/x
  3. Step 3: Cross multiply
    261,862,632x = 410,784,210 × 410,784,210
  4. Step 4: Simplify right side
    261,862,632x = 168,743,667,185,324,096
  5. Step 5: Solve for x
    x = 168,743,667,185,324,096/261,862,632
  6. Step 6: Final answer
    x = 644,397,659.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.