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Finding the Third Proportional to 24,357,024 and 52,388,208

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Solution

The third proportional to 24,357,024 and 52,388,208 is: 112,678,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357,024 : 52,388,208 = 52,388,208 : x
  2. Step 2: Convert to fraction form
    24,357,024/52,388,208 = 52,388,208/x
  3. Step 3: Cross multiply
    24,357,024x = 52,388,208 × 52,388,208
  4. Step 4: Simplify right side
    24,357,024x = 2,744,524,337,451,264
  5. Step 5: Solve for x
    x = 2,744,524,337,451,264/24,357,024
  6. Step 6: Final answer
    x = 112,678,968.39

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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.