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Finding the Third Proportional to 7,620,264 and 11,609,047

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Solution

The third proportional to 7,620,264 and 11,609,047 is: 17,685,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620,264 : 11,609,047 = 11,609,047 : x
  2. Step 2: Convert to fraction form
    7,620,264/11,609,047 = 11,609,047/x
  3. Step 3: Cross multiply
    7,620,264x = 11,609,047 × 11,609,047
  4. Step 4: Simplify right side
    7,620,264x = 134,769,972,248,209
  5. Step 5: Solve for x
    x = 134,769,972,248,209/7,620,264
  6. Step 6: Final answer
    x = 17,685,735.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.