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Finding the Third Proportional to 7,467,747 and 11,270,316

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Solution

The third proportional to 7,467,747 and 11,270,316 is: 17,009,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467,747 : 11,270,316 = 11,270,316 : x
  2. Step 2: Convert to fraction form
    7,467,747/11,270,316 = 11,270,316/x
  3. Step 3: Cross multiply
    7,467,747x = 11,270,316 × 11,270,316
  4. Step 4: Simplify right side
    7,467,747x = 127,020,022,739,856
  5. Step 5: Solve for x
    x = 127,020,022,739,856/7,467,747
  6. Step 6: Final answer
    x = 17,009,149.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.