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Finding the Third Proportional to 2,716,317 and 5,756,445

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Solution

The third proportional to 2,716,317 and 5,756,445 is: 12,199,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716,317 : 5,756,445 = 5,756,445 : x
  2. Step 2: Convert to fraction form
    2,716,317/5,756,445 = 5,756,445/x
  3. Step 3: Cross multiply
    2,716,317x = 5,756,445 × 5,756,445
  4. Step 4: Simplify right side
    2,716,317x = 33,136,659,038,025
  5. Step 5: Solve for x
    x = 33,136,659,038,025/2,716,317
  6. Step 6: Final answer
    x = 12,199,113.37

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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.