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Finding the Third Proportional to 10,461,514.50 and 22,526,100

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Solution

The third proportional to 10,461,514.50 and 22,526,100 is: 48,503,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461,514.50 : 22,526,100 = 22,526,100 : x
  2. Step 2: Convert to fraction form
    10,461,514.50/22,526,100 = 22,526,100/x
  3. Step 3: Cross multiply
    10,461,514.50x = 22,526,100 × 22,526,100
  4. Step 4: Simplify right side
    10,461,514.50x = 507,425,181,210,000
  5. Step 5: Solve for x
    x = 507,425,181,210,000/10,461,514.50
  6. Step 6: Final answer
    x = 48,503,988.71

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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.