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Finding the Third Proportional to 9,600,700 and 13,504,590

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Solution

The third proportional to 9,600,700 and 13,504,590 is: 18,995,901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600,700 : 13,504,590 = 13,504,590 : x
  2. Step 2: Convert to fraction form
    9,600,700/13,504,590 = 13,504,590/x
  3. Step 3: Cross multiply
    9,600,700x = 13,504,590 × 13,504,590
  4. Step 4: Simplify right side
    9,600,700x = 182,373,951,068,100
  5. Step 5: Solve for x
    x = 182,373,951,068,100/9,600,700
  6. Step 6: Final answer
    x = 18,995,901.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.