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Finding the Third Proportional to 8,369,320.50 and 17,743,027.50

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Solution

The third proportional to 8,369,320.50 and 17,743,027.50 is: 37,615,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369,320.50 : 17,743,027.50 = 17,743,027.50 : x
  2. Step 2: Convert to fraction form
    8,369,320.50/17,743,027.50 = 17,743,027.50/x
  3. Step 3: Cross multiply
    8,369,320.50x = 17,743,027.50 × 17,743,027.50
  4. Step 4: Simplify right side
    8,369,320.50x = 314,815,024,865,756.25
  5. Step 5: Solve for x
    x = 314,815,024,865,756.25/8,369,320.50
  6. Step 6: Final answer
    x = 37,615,362.55

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.