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Finding the Third Proportional to 6,457,756 and 13,702,664

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Solution

The third proportional to 6,457,756 and 13,702,664 is: 29,075,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,756 : 13,702,664 = 13,702,664 : x
  2. Step 2: Convert to fraction form
    6,457,756/13,702,664 = 13,702,664/x
  3. Step 3: Cross multiply
    6,457,756x = 13,702,664 × 13,702,664
  4. Step 4: Simplify right side
    6,457,756x = 187,763,000,696,896
  5. Step 5: Solve for x
    x = 187,763,000,696,896/6,457,756
  6. Step 6: Final answer
    x = 29,075,579.92

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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.