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Finding the Third Proportional to 7,467,843 and 11,533,437

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Solution

The third proportional to 7,467,843 and 11,533,437 is: 17,812,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467,843 : 11,533,437 = 11,533,437 : x
  2. Step 2: Convert to fraction form
    7,467,843/11,533,437 = 11,533,437/x
  3. Step 3: Cross multiply
    7,467,843x = 11,533,437 × 11,533,437
  4. Step 4: Simplify right side
    7,467,843x = 133,020,169,032,969
  5. Step 5: Solve for x
    x = 133,020,169,032,969/7,467,843
  6. Step 6: Final answer
    x = 17,812,394.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.