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Finding the Third Proportional to 353,881,764 and 530,822,713.50

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Solution

The third proportional to 353,881,764 and 530,822,713.50 is: 796,234,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,881,764 : 530,822,713.50 = 530,822,713.50 : x
  2. Step 2: Convert to fraction form
    353,881,764/530,822,713.50 = 530,822,713.50/x
  3. Step 3: Cross multiply
    353,881,764x = 530,822,713.50 × 530,822,713.50
  4. Step 4: Simplify right side
    353,881,764x = 281,772,753,167,503,072
  5. Step 5: Solve for x
    x = 281,772,753,167,503,072/353,881,764
  6. Step 6: Final answer
    x = 796,234,171.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.