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Finding the Third Proportional to 10,648,089 and 17,385,529

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Solution

The third proportional to 10,648,089 and 17,385,529 is: 28,385,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648,089 : 17,385,529 = 17,385,529 : x
  2. Step 2: Convert to fraction form
    10,648,089/17,385,529 = 17,385,529/x
  3. Step 3: Cross multiply
    10,648,089x = 17,385,529 × 17,385,529
  4. Step 4: Simplify right side
    10,648,089x = 302,256,618,609,841
  5. Step 5: Solve for x
    x = 302,256,618,609,841/10,648,089
  6. Step 6: Final answer
    x = 28,385,996.64

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.