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Finding the Third Proportional to 4,961,923.31 and 10,684,153.97

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Solution

The third proportional to 4,961,923.31 and 10,684,153.97 is: 23,005,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961,923.31 : 10,684,153.97 = 10,684,153.97 : x
  2. Step 2: Convert to fraction form
    4,961,923.31/10,684,153.97 = 10,684,153.97/x
  3. Step 3: Cross multiply
    4,961,923.31x = 10,684,153.97 × 10,684,153.97
  4. Step 4: Simplify right side
    4,961,923.31x = 114,151,146,027,956.38
  5. Step 5: Solve for x
    x = 114,151,146,027,956.38/4,961,923.31
  6. Step 6: Final answer
    x = 23,005,423.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.