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Finding the Third Proportional to 798,470,234.38 and 1,737,541,179.63

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Solution

The third proportional to 798,470,234.38 and 1,737,541,179.63 is: 3,781,041,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,470,234.38 : 1,737,541,179.63 = 1,737,541,179.63 : x
  2. Step 2: Convert to fraction form
    798,470,234.38/1,737,541,179.63 = 1,737,541,179.63/x
  3. Step 3: Cross multiply
    798,470,234.38x = 1,737,541,179.63 × 1,737,541,179.63
  4. Step 4: Simplify right side
    798,470,234.38x = 3,019,049,350,892,636,672
  5. Step 5: Solve for x
    x = 3,019,049,350,892,636,672/798,470,234.38
  6. Step 6: Final answer
    x = 3,781,041,823.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.