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Finding the Third Proportional to 30,469,815.56 and 65,909,451.94

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Solution

The third proportional to 30,469,815.56 and 65,909,451.94 is: 142,569,154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469,815.56 : 65,909,451.94 = 65,909,451.94 : x
  2. Step 2: Convert to fraction form
    30,469,815.56/65,909,451.94 = 65,909,451.94/x
  3. Step 3: Cross multiply
    30,469,815.56x = 65,909,451.94 × 65,909,451.94
  4. Step 4: Simplify right side
    30,469,815.56x = 4,344,055,854,701,622.50
  5. Step 5: Solve for x
    x = 4,344,055,854,701,622.50/30,469,815.56
  6. Step 6: Final answer
    x = 142,569,154.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.