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Finding the Third Proportional to 5,710,317 and 12,361,529

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Solution

The third proportional to 5,710,317 and 12,361,529 is: 26,759,880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710,317 : 12,361,529 = 12,361,529 : x
  2. Step 2: Convert to fraction form
    5,710,317/12,361,529 = 12,361,529/x
  3. Step 3: Cross multiply
    5,710,317x = 12,361,529 × 12,361,529
  4. Step 4: Simplify right side
    5,710,317x = 152,807,399,217,841
  5. Step 5: Solve for x
    x = 152,807,399,217,841/5,710,317
  6. Step 6: Final answer
    x = 26,759,880.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.