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Finding the Third Proportional to 25,865,721 and 35,964,216

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Solution

The third proportional to 25,865,721 and 35,964,216 is: 50,005,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,865,721 : 35,964,216 = 35,964,216 : x
  2. Step 2: Convert to fraction form
    25,865,721/35,964,216 = 35,964,216/x
  3. Step 3: Cross multiply
    25,865,721x = 35,964,216 × 35,964,216
  4. Step 4: Simplify right side
    25,865,721x = 1,293,424,832,494,656
  5. Step 5: Solve for x
    x = 1,293,424,832,494,656/25,865,721
  6. Step 6: Final answer
    x = 50,005,365.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.