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Finding the Third Proportional to 10,482,048 and 15,723,072

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Solution

The third proportional to 10,482,048 and 15,723,072 is: 23,584,608

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482,048 : 15,723,072 = 15,723,072 : x
  2. Step 2: Convert to fraction form
    10,482,048/15,723,072 = 15,723,072/x
  3. Step 3: Cross multiply
    10,482,048x = 15,723,072 × 15,723,072
  4. Step 4: Simplify right side
    10,482,048x = 247,214,993,117,184
  5. Step 5: Solve for x
    x = 247,214,993,117,184/10,482,048
  6. Step 6: Final answer
    x = 23,584,608

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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.