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Finding the Third Proportional to 15,701,717 and 23,701,855.50

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Solution

The third proportional to 15,701,717 and 23,701,855.50 is: 35,778,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,701,717 : 23,701,855.50 = 23,701,855.50 : x
  2. Step 2: Convert to fraction form
    15,701,717/23,701,855.50 = 23,701,855.50/x
  3. Step 3: Cross multiply
    15,701,717x = 23,701,855.50 × 23,701,855.50
  4. Step 4: Simplify right side
    15,701,717x = 561,777,954,142,880.25
  5. Step 5: Solve for x
    x = 561,777,954,142,880.25/15,701,717
  6. Step 6: Final answer
    x = 35,778,122.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.