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Finding the Third Proportional to 11,147,648 and 16,291,328

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Solution

The third proportional to 11,147,648 and 16,291,328 is: 23,808,373.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147,648 : 16,291,328 = 16,291,328 : x
  2. Step 2: Convert to fraction form
    11,147,648/16,291,328 = 16,291,328/x
  3. Step 3: Cross multiply
    11,147,648x = 16,291,328 × 16,291,328
  4. Step 4: Simplify right side
    11,147,648x = 265,407,368,003,584
  5. Step 5: Solve for x
    x = 265,407,368,003,584/11,147,648
  6. Step 6: Final answer
    x = 23,808,373.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.