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Finding the Third Proportional to 7,546,508.63 and 11,768,166.28

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Solution

The third proportional to 7,546,508.63 and 11,768,166.28 is: 18,351,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546,508.63 : 11,768,166.28 = 11,768,166.28 : x
  2. Step 2: Convert to fraction form
    7,546,508.63/11,768,166.28 = 11,768,166.28/x
  3. Step 3: Cross multiply
    7,546,508.63x = 11,768,166.28 × 11,768,166.28
  4. Step 4: Simplify right side
    7,546,508.63x = 138,489,737,623,149.45
  5. Step 5: Solve for x
    x = 138,489,737,623,149.45/7,546,508.63
  6. Step 6: Final answer
    x = 18,351,497.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.