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Finding the Third Proportional to 5,838,716 and 9,297,696

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Solution

The third proportional to 5,838,716 and 9,297,696 is: 14,805,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838,716 : 9,297,696 = 9,297,696 : x
  2. Step 2: Convert to fraction form
    5,838,716/9,297,696 = 9,297,696/x
  3. Step 3: Cross multiply
    5,838,716x = 9,297,696 × 9,297,696
  4. Step 4: Simplify right side
    5,838,716x = 86,447,150,908,416
  5. Step 5: Solve for x
    x = 86,447,150,908,416/5,838,716
  6. Step 6: Final answer
    x = 14,805,849.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.