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Finding the Third Proportional to 4,687,783.24 and 7,044,156.14

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Solution

The third proportional to 4,687,783.24 and 7,044,156.14 is: 10,584,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687,783.24 : 7,044,156.14 = 7,044,156.14 : x
  2. Step 2: Convert to fraction form
    4,687,783.24/7,044,156.14 = 7,044,156.14/x
  3. Step 3: Cross multiply
    4,687,783.24x = 7,044,156.14 × 7,044,156.14
  4. Step 4: Simplify right side
    4,687,783.24x = 49,620,135,733,504.90
  5. Step 5: Solve for x
    x = 49,620,135,733,504.90/4,687,783.24
  6. Step 6: Final answer
    x = 10,584,989.36

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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.