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Finding the Third Proportional to 5,052,813 and 7,766,617.50

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Solution

The third proportional to 5,052,813 and 7,766,617.50 is: 11,937,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052,813 : 7,766,617.50 = 7,766,617.50 : x
  2. Step 2: Convert to fraction form
    5,052,813/7,766,617.50 = 7,766,617.50/x
  3. Step 3: Cross multiply
    5,052,813x = 7,766,617.50 × 7,766,617.50
  4. Step 4: Simplify right side
    5,052,813x = 60,320,347,391,306.25
  5. Step 5: Solve for x
    x = 60,320,347,391,306.25/5,052,813
  6. Step 6: Final answer
    x = 11,937,973.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.