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Finding the Third Proportional to 23,678,940.75 and 35,421,858.75

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Solution

The third proportional to 23,678,940.75 and 35,421,858.75 is: 52,988,353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678,940.75 : 35,421,858.75 = 35,421,858.75 : x
  2. Step 2: Convert to fraction form
    23,678,940.75/35,421,858.75 = 35,421,858.75/x
  3. Step 3: Cross multiply
    23,678,940.75x = 35,421,858.75 × 35,421,858.75
  4. Step 4: Simplify right side
    23,678,940.75x = 1,254,708,077,304,951.50
  5. Step 5: Solve for x
    x = 1,254,708,077,304,951.50/23,678,940.75
  6. Step 6: Final answer
    x = 52,988,353.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.