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Finding the Third Proportional to 3,683,607.75 and 7,748,965.50

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Solution

The third proportional to 3,683,607.75 and 7,748,965.50 is: 16,300,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683,607.75 : 7,748,965.50 = 7,748,965.50 : x
  2. Step 2: Convert to fraction form
    3,683,607.75/7,748,965.50 = 7,748,965.50/x
  3. Step 3: Cross multiply
    3,683,607.75x = 7,748,965.50 × 7,748,965.50
  4. Step 4: Simplify right side
    3,683,607.75x = 60,046,466,320,190.25
  5. Step 5: Solve for x
    x = 60,046,466,320,190.25/3,683,607.75
  6. Step 6: Final answer
    x = 16,300,993.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.