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Finding the Third Proportional to 21,457,993.50 and 45,984,105

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Solution

The third proportional to 21,457,993.50 and 45,984,105 is: 98,543,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457,993.50 : 45,984,105 = 45,984,105 : x
  2. Step 2: Convert to fraction form
    21,457,993.50/45,984,105 = 45,984,105/x
  3. Step 3: Cross multiply
    21,457,993.50x = 45,984,105 × 45,984,105
  4. Step 4: Simplify right side
    21,457,993.50x = 2,114,537,912,651,025
  5. Step 5: Solve for x
    x = 2,114,537,912,651,025/21,457,993.50
  6. Step 6: Final answer
    x = 98,543,133.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.