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Finding the Third Proportional to 9,311,377 and 14,532,841

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Solution

The third proportional to 9,311,377 and 14,532,841 is: 22,682,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311,377 : 14,532,841 = 14,532,841 : x
  2. Step 2: Convert to fraction form
    9,311,377/14,532,841 = 14,532,841/x
  3. Step 3: Cross multiply
    9,311,377x = 14,532,841 × 14,532,841
  4. Step 4: Simplify right side
    9,311,377x = 211,203,467,531,281
  5. Step 5: Solve for x
    x = 211,203,467,531,281/9,311,377
  6. Step 6: Final answer
    x = 22,682,302.26

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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.