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Finding the Third Proportional to 9,697,336 and 14,519,293

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Solution

The third proportional to 9,697,336 and 14,519,293 is: 21,738,946.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697,336 : 14,519,293 = 14,519,293 : x
  2. Step 2: Convert to fraction form
    9,697,336/14,519,293 = 14,519,293/x
  3. Step 3: Cross multiply
    9,697,336x = 14,519,293 × 14,519,293
  4. Step 4: Simplify right side
    9,697,336x = 210,809,869,219,849
  5. Step 5: Solve for x
    x = 210,809,869,219,849/9,697,336
  6. Step 6: Final answer
    x = 21,738,946.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.