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Finding the Third Proportional to 413,301,706.50 and 892,350,732.38

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Solution

The third proportional to 413,301,706.50 and 892,350,732.38 is: 1,926,655,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,301,706.50 : 892,350,732.38 = 892,350,732.38 : x
  2. Step 2: Convert to fraction form
    413,301,706.50/892,350,732.38 = 892,350,732.38/x
  3. Step 3: Cross multiply
    413,301,706.50x = 892,350,732.38 × 892,350,732.38
  4. Step 4: Simplify right side
    413,301,706.50x = 796,289,829,570,198,912
  5. Step 5: Solve for x
    x = 796,289,829,570,198,912/413,301,706.50
  6. Step 6: Final answer
    x = 1,926,655,073.15

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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.