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Finding the Third Proportional to 180,996,934 and 383,711,858

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Solution

The third proportional to 180,996,934 and 383,711,858 is: 813,465,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,996,934 : 383,711,858 = 383,711,858 : x
  2. Step 2: Convert to fraction form
    180,996,934/383,711,858 = 383,711,858/x
  3. Step 3: Cross multiply
    180,996,934x = 383,711,858 × 383,711,858
  4. Step 4: Simplify right side
    180,996,934x = 147,234,789,969,812,160
  5. Step 5: Solve for x
    x = 147,234,789,969,812,160/180,996,934
  6. Step 6: Final answer
    x = 813,465,657.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.