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Finding the Third Proportional to 367,683,726 and 787,822,288

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Solution

The third proportional to 367,683,726 and 787,822,288 is: 1,688,037,608.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,683,726 : 787,822,288 = 787,822,288 : x
  2. Step 2: Convert to fraction form
    367,683,726/787,822,288 = 787,822,288/x
  3. Step 3: Cross multiply
    367,683,726x = 787,822,288 × 787,822,288
  4. Step 4: Simplify right side
    367,683,726x = 620,663,957,469,554,944
  5. Step 5: Solve for x
    x = 620,663,957,469,554,944/367,683,726
  6. Step 6: Final answer
    x = 1,688,037,608.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.