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Finding the Third Proportional to 7,832,537 and 11,973,931

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Solution

The third proportional to 7,832,537 and 11,973,931 is: 18,305,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832,537 : 11,973,931 = 11,973,931 : x
  2. Step 2: Convert to fraction form
    7,832,537/11,973,931 = 11,973,931/x
  3. Step 3: Cross multiply
    7,832,537x = 11,973,931 × 11,973,931
  4. Step 4: Simplify right side
    7,832,537x = 143,375,023,592,761
  5. Step 5: Solve for x
    x = 143,375,023,592,761/7,832,537
  6. Step 6: Final answer
    x = 18,305,055.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.