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Finding the Third Proportional to 5,746,268 and 12,364,337

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Solution

The third proportional to 5,746,268 and 12,364,337 is: 26,604,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746,268 : 12,364,337 = 12,364,337 : x
  2. Step 2: Convert to fraction form
    5,746,268/12,364,337 = 12,364,337/x
  3. Step 3: Cross multiply
    5,746,268x = 12,364,337 × 12,364,337
  4. Step 4: Simplify right side
    5,746,268x = 152,876,829,449,569
  5. Step 5: Solve for x
    x = 152,876,829,449,569/5,746,268
  6. Step 6: Final answer
    x = 26,604,542.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.