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Finding the Third Proportional to 2,064,103.50 and 4,663,353

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Solution

The third proportional to 2,064,103.50 and 4,663,353 is: 10,535,741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064,103.50 : 4,663,353 = 4,663,353 : x
  2. Step 2: Convert to fraction form
    2,064,103.50/4,663,353 = 4,663,353/x
  3. Step 3: Cross multiply
    2,064,103.50x = 4,663,353 × 4,663,353
  4. Step 4: Simplify right side
    2,064,103.50x = 21,746,861,202,609
  5. Step 5: Solve for x
    x = 21,746,861,202,609/2,064,103.50
  6. Step 6: Final answer
    x = 10,535,741.64

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.