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Finding the Third Proportional to 11,496,384 and 15,984,648

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Solution

The third proportional to 11,496,384 and 15,984,648 is: 22,225,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496,384 : 15,984,648 = 15,984,648 : x
  2. Step 2: Convert to fraction form
    11,496,384/15,984,648 = 15,984,648/x
  3. Step 3: Cross multiply
    11,496,384x = 15,984,648 × 15,984,648
  4. Step 4: Simplify right side
    11,496,384x = 255,508,971,683,904
  5. Step 5: Solve for x
    x = 255,508,971,683,904/11,496,384
  6. Step 6: Final answer
    x = 22,225,159.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.