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Finding the Third Proportional to 6,205,440 and 9,603,072

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Solution

The third proportional to 6,205,440 and 9,603,072 is: 14,860,991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205,440 : 9,603,072 = 9,603,072 : x
  2. Step 2: Convert to fraction form
    6,205,440/9,603,072 = 9,603,072/x
  3. Step 3: Cross multiply
    6,205,440x = 9,603,072 × 9,603,072
  4. Step 4: Simplify right side
    6,205,440x = 92,218,991,837,184
  5. Step 5: Solve for x
    x = 92,218,991,837,184/6,205,440
  6. Step 6: Final answer
    x = 14,860,991.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.