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Finding the Third Proportional to 7,013,223 and 10,520,077.50

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Solution

The third proportional to 7,013,223 and 10,520,077.50 is: 15,780,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013,223 : 10,520,077.50 = 10,520,077.50 : x
  2. Step 2: Convert to fraction form
    7,013,223/10,520,077.50 = 10,520,077.50/x
  3. Step 3: Cross multiply
    7,013,223x = 10,520,077.50 × 10,520,077.50
  4. Step 4: Simplify right side
    7,013,223x = 110,672,030,606,006.25
  5. Step 5: Solve for x
    x = 110,672,030,606,006.25/7,013,223
  6. Step 6: Final answer
    x = 15,780,480.76

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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.