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Finding the Third Proportional to 10,399,749 and 23,189,343

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Solution

The third proportional to 10,399,749 and 23,189,343 is: 51,707,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399,749 : 23,189,343 = 23,189,343 : x
  2. Step 2: Convert to fraction form
    10,399,749/23,189,343 = 23,189,343/x
  3. Step 3: Cross multiply
    10,399,749x = 23,189,343 × 23,189,343
  4. Step 4: Simplify right side
    10,399,749x = 537,745,628,771,649
  5. Step 5: Solve for x
    x = 537,745,628,771,649/10,399,749
  6. Step 6: Final answer
    x = 51,707,558.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.