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Finding the Third Proportional to 7,697,934 and 10,762,165.38

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Solution

The third proportional to 7,697,934 and 10,762,165.38 is: 15,046,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697,934 : 10,762,165.38 = 10,762,165.38 : x
  2. Step 2: Convert to fraction form
    7,697,934/10,762,165.38 = 10,762,165.38/x
  3. Step 3: Cross multiply
    7,697,934x = 10,762,165.38 × 10,762,165.38
  4. Step 4: Simplify right side
    7,697,934x = 115,824,203,558,848.89
  5. Step 5: Solve for x
    x = 115,824,203,558,848.89/7,697,934
  6. Step 6: Final answer
    x = 15,046,141.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.