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Finding the Third Proportional to 9,853,123.75 and 23,021,344

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Solution

The third proportional to 9,853,123.75 and 23,021,344 is: 53,788,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853,123.75 : 23,021,344 = 23,021,344 : x
  2. Step 2: Convert to fraction form
    9,853,123.75/23,021,344 = 23,021,344/x
  3. Step 3: Cross multiply
    9,853,123.75x = 23,021,344 × 23,021,344
  4. Step 4: Simplify right side
    9,853,123.75x = 529,982,279,566,336
  5. Step 5: Solve for x
    x = 529,982,279,566,336/9,853,123.75
  6. Step 6: Final answer
    x = 53,788,249.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.