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Finding the Third Proportional to 433,100,457 and 935,234,743.50

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Solution

The third proportional to 433,100,457 and 935,234,743.50 is: 2,019,540,758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,100,457 : 935,234,743.50 = 935,234,743.50 : x
  2. Step 2: Convert to fraction form
    433,100,457/935,234,743.50 = 935,234,743.50/x
  3. Step 3: Cross multiply
    433,100,457x = 935,234,743.50 × 935,234,743.50
  4. Step 4: Simplify right side
    433,100,457x = 874,664,025,449,510,784
  5. Step 5: Solve for x
    x = 874,664,025,449,510,784/433,100,457
  6. Step 6: Final answer
    x = 2,019,540,758.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.