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Finding the Third Proportional to 3,323,975 and 7,144,511

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Solution

The third proportional to 3,323,975 and 7,144,511 is: 15,356,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323,975 : 7,144,511 = 7,144,511 : x
  2. Step 2: Convert to fraction form
    3,323,975/7,144,511 = 7,144,511/x
  3. Step 3: Cross multiply
    3,323,975x = 7,144,511 × 7,144,511
  4. Step 4: Simplify right side
    3,323,975x = 51,044,037,429,121
  5. Step 5: Solve for x
    x = 51,044,037,429,121/3,323,975
  6. Step 6: Final answer
    x = 15,356,324.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.