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Finding the Third Proportional to 12,529,764 and 19,937,484

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Solution

The third proportional to 12,529,764 and 19,937,484 is: 31,724,721.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529,764 : 19,937,484 = 19,937,484 : x
  2. Step 2: Convert to fraction form
    12,529,764/19,937,484 = 19,937,484/x
  3. Step 3: Cross multiply
    12,529,764x = 19,937,484 × 19,937,484
  4. Step 4: Simplify right side
    12,529,764x = 397,503,268,250,256
  5. Step 5: Solve for x
    x = 397,503,268,250,256/12,529,764
  6. Step 6: Final answer
    x = 31,724,721.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.