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Finding the Third Proportional to 7,863,399 and 16,820,014.50

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Solution

The third proportional to 7,863,399 and 16,820,014.50 is: 35,978,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863,399 : 16,820,014.50 = 16,820,014.50 : x
  2. Step 2: Convert to fraction form
    7,863,399/16,820,014.50 = 16,820,014.50/x
  3. Step 3: Cross multiply
    7,863,399x = 16,820,014.50 × 16,820,014.50
  4. Step 4: Simplify right side
    7,863,399x = 282,912,887,780,210.25
  5. Step 5: Solve for x
    x = 282,912,887,780,210.25/7,863,399
  6. Step 6: Final answer
    x = 35,978,447.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.