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Finding the Third Proportional to 6,503,706 and 9,661,221

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Solution

The third proportional to 6,503,706 and 9,661,221 is: 14,351,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503,706 : 9,661,221 = 9,661,221 : x
  2. Step 2: Convert to fraction form
    6,503,706/9,661,221 = 9,661,221/x
  3. Step 3: Cross multiply
    6,503,706x = 9,661,221 × 9,661,221
  4. Step 4: Simplify right side
    6,503,706x = 93,339,191,210,841
  5. Step 5: Solve for x
    x = 93,339,191,210,841/6,503,706
  6. Step 6: Final answer
    x = 14,351,692.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.