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Finding the Third Proportional to 994,072,100 and 1,482,487,670

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Solution

The third proportional to 994,072,100 and 1,482,487,670 is: 2,210,875,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,072,100 : 1,482,487,670 = 1,482,487,670 : x
  2. Step 2: Convert to fraction form
    994,072,100/1,482,487,670 = 1,482,487,670/x
  3. Step 3: Cross multiply
    994,072,100x = 1,482,487,670 × 1,482,487,670
  4. Step 4: Simplify right side
    994,072,100x = 2,197,769,691,702,028,800
  5. Step 5: Solve for x
    x = 2,197,769,691,702,028,800/994,072,100
  6. Step 6: Final answer
    x = 2,210,875,540.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.