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Finding the Third Proportional to 6,457,744 and 13,702,640

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Solution

The third proportional to 6,457,744 and 13,702,640 is: 29,075,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,744 : 13,702,640 = 13,702,640 : x
  2. Step 2: Convert to fraction form
    6,457,744/13,702,640 = 13,702,640/x
  3. Step 3: Cross multiply
    6,457,744x = 13,702,640 × 13,702,640
  4. Step 4: Simplify right side
    6,457,744x = 187,762,342,969,600
  5. Step 5: Solve for x
    x = 187,762,342,969,600/6,457,744
  6. Step 6: Final answer
    x = 29,075,532.10

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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.