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Finding the Third Proportional to 11,385,051 and 17,609,586

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Solution

The third proportional to 11,385,051 and 17,609,586 is: 27,237,253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385,051 : 17,609,586 = 17,609,586 : x
  2. Step 2: Convert to fraction form
    11,385,051/17,609,586 = 17,609,586/x
  3. Step 3: Cross multiply
    11,385,051x = 17,609,586 × 17,609,586
  4. Step 4: Simplify right side
    11,385,051x = 310,097,519,091,396
  5. Step 5: Solve for x
    x = 310,097,519,091,396/11,385,051
  6. Step 6: Final answer
    x = 27,237,253.40

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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.