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Finding the Third Proportional to 10,624,813.50 and 22,526,457

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Solution

The third proportional to 10,624,813.50 and 22,526,457 is: 47,760,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624,813.50 : 22,526,457 = 22,526,457 : x
  2. Step 2: Convert to fraction form
    10,624,813.50/22,526,457 = 22,526,457/x
  3. Step 3: Cross multiply
    10,624,813.50x = 22,526,457 × 22,526,457
  4. Step 4: Simplify right side
    10,624,813.50x = 507,441,264,972,849
  5. Step 5: Solve for x
    x = 507,441,264,972,849/10,624,813.50
  6. Step 6: Final answer
    x = 47,760,016.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.