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Finding the Third Proportional to 12,691,825 and 19,335,088

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Solution

The third proportional to 12,691,825 and 19,335,088 is: 29,455,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691,825 : 19,335,088 = 19,335,088 : x
  2. Step 2: Convert to fraction form
    12,691,825/19,335,088 = 19,335,088/x
  3. Step 3: Cross multiply
    12,691,825x = 19,335,088 × 19,335,088
  4. Step 4: Simplify right side
    12,691,825x = 373,845,627,967,744
  5. Step 5: Solve for x
    x = 373,845,627,967,744/12,691,825
  6. Step 6: Final answer
    x = 29,455,624.23

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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.