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Finding the Third Proportional to 10,932,814.27 and 23,924,749.78

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Solution

The third proportional to 10,932,814.27 and 23,924,749.78 is: 52,355,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932,814.27 : 23,924,749.78 = 23,924,749.78 : x
  2. Step 2: Convert to fraction form
    10,932,814.27/23,924,749.78 = 23,924,749.78/x
  3. Step 3: Cross multiply
    10,932,814.27x = 23,924,749.78 × 23,924,749.78
  4. Step 4: Simplify right side
    10,932,814.27x = 572,393,652,095,421.88
  5. Step 5: Solve for x
    x = 572,393,652,095,421.88/10,932,814.27
  6. Step 6: Final answer
    x = 52,355,563.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.