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Finding the Third Proportional to 21,105,643.50 and 46,251,405

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Solution

The third proportional to 21,105,643.50 and 46,251,405 is: 101,356,419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105,643.50 : 46,251,405 = 46,251,405 : x
  2. Step 2: Convert to fraction form
    21,105,643.50/46,251,405 = 46,251,405/x
  3. Step 3: Cross multiply
    21,105,643.50x = 46,251,405 × 46,251,405
  4. Step 4: Simplify right side
    21,105,643.50x = 2,139,192,464,474,025
  5. Step 5: Solve for x
    x = 2,139,192,464,474,025/21,105,643.50
  6. Step 6: Final answer
    x = 101,356,419.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.