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Finding the Third Proportional to 17,353,428,626.25 and 24,437,451,460.50

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Solution

The third proportional to 17,353,428,626.25 and 24,437,451,460.50 is: 34,413,316,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,353,428,626.25 : 24,437,451,460.50 = 24,437,451,460.50 : x
  2. Step 2: Convert to fraction form
    17,353,428,626.25/24,437,451,460.50 = 24,437,451,460.50/x
  3. Step 3: Cross multiply
    17,353,428,626.25x = 24,437,451,460.50 × 24,437,451,460.50
  4. Step 4: Simplify right side
    17,353,428,626.25x = 597,189,033,884,293,529,600
  5. Step 5: Solve for x
    x = 597,189,033,884,293,529,600/17,353,428,626.25
  6. Step 6: Final answer
    x = 34,413,316,627.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.