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Finding the Third Proportional to 890,167,776.38 and 1,308,586,120.13

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Solution

The third proportional to 890,167,776.38 and 1,308,586,120.13 is: 1,923,679,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,167,776.38 : 1,308,586,120.13 = 1,308,586,120.13 : x
  2. Step 2: Convert to fraction form
    890,167,776.38/1,308,586,120.13 = 1,308,586,120.13/x
  3. Step 3: Cross multiply
    890,167,776.38x = 1,308,586,120.13 × 1,308,586,120.13
  4. Step 4: Simplify right side
    890,167,776.38x = 1,712,397,633,783,800,832
  5. Step 5: Solve for x
    x = 1,712,397,633,783,800,832/890,167,776.38
  6. Step 6: Final answer
    x = 1,923,679,646.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.