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Finding the Third Proportional to 645,052,990.50 and 996,095,821.50

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Solution

The third proportional to 645,052,990.50 and 996,095,821.50 is: 1,538,178,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,052,990.50 : 996,095,821.50 = 996,095,821.50 : x
  2. Step 2: Convert to fraction form
    645,052,990.50/996,095,821.50 = 996,095,821.50/x
  3. Step 3: Cross multiply
    645,052,990.50x = 996,095,821.50 × 996,095,821.50
  4. Step 4: Simplify right side
    645,052,990.50x = 992,206,885,609,759,872
  5. Step 5: Solve for x
    x = 992,206,885,609,759,872/645,052,990.50
  6. Step 6: Final answer
    x = 1,538,178,878.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.