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Finding the Third Proportional to 23,874,603 and 51,152,712.75

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Solution

The third proportional to 23,874,603 and 51,152,712.75 is: 109,597,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874,603 : 51,152,712.75 = 51,152,712.75 : x
  2. Step 2: Convert to fraction form
    23,874,603/51,152,712.75 = 51,152,712.75/x
  3. Step 3: Cross multiply
    23,874,603x = 51,152,712.75 × 51,152,712.75
  4. Step 4: Simplify right side
    23,874,603x = 2,616,600,021,684,012.50
  5. Step 5: Solve for x
    x = 2,616,600,021,684,012.50/23,874,603
  6. Step 6: Final answer
    x = 109,597,634.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.